Find the value of the
trig function
a. Cos Ɵ = 2/5 find Tan Ɵ
b. Cosec Ɵ = 7/3 find Cos Ɵ
c. Cot Ɵ = 4/3 find Sec Ɵ
d. Tan Ɵ = 3 find Cosec Ɵ

Answers

Answer 1

Answer:

a.

cos θ = 2/5, tan θ = ?

tan θ = sin θ / cos θ tan θ = √sin² θ / (2/5) tan θ= 5√(1 - cos²θ) / 2 tan θ = 5√(1 - 4/25) / 2 tan θ = 5√(21/25) / 2 tan θ = √21 / 2

b.

cosec θ = 7/3, cos θ = ?

cosec θ =  1/ sin θ cosec θ = 1/ √(1 - cos²θ) √(1 - cos²θ) = 1 / cosec θ1 - cos²θ = (1 / (7/3))² cos²θ = 1 - 9 / 49cos²θ = 40/49cos θ = √40/49cos θ = 2√10/7

c.

cot θ = 4/3, sec θ = ?

cot  θ = cos θ / sin θcos θ = cot θ * sin θcos θ = 4/3 * √(1 - cos²θ)9cos²θ = 16(1 - cos²θ)25cos²θ = 16cos²θ = 16/25cos θ √16/25cos θ = 4/5sec θ = 1/ cos θsec θ = 1/ (4/5)sec θ = 5/4

d.

tan θ = 3, cosec θ = ?

sin²θ + cos²θ = 11 + cos²θ/sin²θ = 1/ sin²θ1 + 1/tan²θ = cosec²θ1 + 1/9 = cosec²θcosec²θ = 10/9cosec θ = √(10/9)cosec θ = √10 / 3

Related Questions

50 POINTS!!!
A spinner is divided into 4 equal sections numbered 1 to 4. The theoretical probability of the spinner stopping on 3 is 25%. Which of the following is most likely the number of 3's spun in 10,000 spins?

1,367
2,400
2,538
3,108

PUT SOLUTION AND STEPS PLS

Answers

To find how many times it will land on 3 in 10,00 spins you need to find 25% of 10,000 so 10,000 times .25 is the equation which is 2,500 so if I'm not mistaken the spinner should land on the third section 2,500/ times in 10,000 spins theoretically speaking, but if you have to find something close to it, its 2538 due to it being the closest.

Answer:

third one 2538

Step-by-step explanation:

it is the closest because 25% of 10,000 is 2500, the closest number to 2500 is 2538

HELP ASAP PLS NO LINKS
Which of the following values in the set below will make the equation 5x + 6 = 6 true? (Only input the number.)
{0, 1,2,3,4}
Numerical Answers Expected!
Answer for Blank 1:

Answers

Answer:

0

Step-by-step explanation:

0

represent 11 by 9 on a number line​

Answers

Answer:

Fraction mulitiplication adding its c

Step-by-step explanation:

(i) sin²θ + cos²θ =
(ii) 1 + tan²θ =
(iii) 1 + cot² θ =
(iv) Sin 2 θ = ​

Answers

Answer:

(i) sin²θ + cos²θ = 1

(ii) 1 + tan²θ = sec²θ

(iii) 1 + cot²θ = cosec²θ

(iv) Sin 2θ = 2 Sinθ cosθ

-TheUnknownScientist

Step-by-step explanation:

(1) = 1

(2) = sec²θ

(3) = cosec² θ

(4) = 2 Sin θ cos

Find an ordered pair (x,y) that is a solution to the equation.
5x+y=6

Answers

Answer:

(0,6) and (1.2 , 0)

Step-by-step explanation:

5x + y = 6

if we take x=0

5(0) + y = 6

y = 6            ; so, one of the solution is (0,6)

if we take y=0

5x + (0) = 6

5x = 6

x = 6/5 = 1.2     ; so, the other solution is (1.2 , 0)

But basically, you can find other solutions of the equation if you do this:

5x + y = 6

5x = (6 - y)

x = (6 - y) / 5    ; so if you use whatever number of y, you will find the rigth solution for x.

and you can do the opposite too:

5x + y = 6

y = 6 -5x       ; with this, you can use whatever number of x, and find the right y.

I hope this helps you!!!

What is the approximate average rate of change for the function f(x)
from x = 3 to x = 6?
12(1.25)

Answers

Answer:

b

Step-by-step explanation:

Plz help me well mark brainliest!

Answers

Answer:

9:59

Step-by-step explanation:

Answer:

C) 9:59

Step-by-step explanation:

Now 9:29

in 30 min 9:59

Fill in the blank with a symbol that makes this statement true: 2/5 ____ 1/2

Answers

The answer is 2/5 < 1/2


Because if you do common denominator which is 10 you get 2/5 as 4/10 and 1/2 as 5/10 so therefore 1/2 is greater

Please help me I'm so bad at math and doing AFDA really doesn't help..
Order of operations on this equation

Answers

Answer:

The answers to your questions are given below.

Step-by-step explanation:

x² – 24 = 10x

Using the format given in the question above, we shall determine the value of x as follow:

I. Make the equation equal to zero

x² – 24 = 10x

Rearrange

x² – 10x – 24 = 0

II. Find two numbers that multiply to __ and add to ___

Multiply the first term (i.e x²) and the last term (i.e –24). The result is –24x².

Find two factors of –24x² such that their sum will result to the 2nd term (i.e –10x). The numbers are 2x and –12x

Thus, Find two numbers that multiply to –24x² and add to –10x

III. Factored equation

x² – 10x – 24 = 0

x² + 2x – 12x – 24 = 0

x(x + 2) – 12(x + 2) = 0

(x – 12)(x + 2) = 0

Thus, the factored equation is:

(x – 12)(x + 2) = 0

IV. The solution are:

(x – 12)(x + 2) = 0

x – 12 = 0 or x + 2 = 0

x = 12 or x = –2

Thus, the solutions are x = 12 or x = –2

5x^{2}-44x+120=-30+11x i am confuseddddd

Answers

Answer: x=6  x=5

Step-by-step explanation:

Answer:

take hints and don't be confused on such question

What is always true about the angles of an isosceles triangle? All three angles are congruent. At least two of the angles are congruent. The vertex angle is a right angle. The vertex angle is obtuse.

Answers

Answer:

at least 2 angles are congruent

Step-by-step explanation:

isoseles triangles have two congruent opposite angles such as 70 70 40

Determine if 0.875 is rational or irrational and give a reason for your answer.

Answers

It is rational as it can be expressed as the quotient of two (nonzero) integers (for example, 875 divided by 1000)


A gift box has the shape of a cube with an edge length of 4.5 in.
What is the volume of the gift box?
Enter your answer in the box.
in3

Answers

Considering the provided information in the given question we have,

A gift box is in the shape of a cube.Length of each edge = 4.5 in

We need to find the volume of the gift box. Since it is in the shape of a cube, we wee need to apply the formula of the volume of a cube. We know that,

→ Volume of cube = l × l × l

→ Volume of cube = 4.5 in × 4.5 in × 4.5 in

→ Volume of cube = [tex] \sf 91.125 \: in^3 [/tex]

Therefore, volume of the gift box is [tex] \bf 91.125 \: in^3 [/tex].

Complete the square in the following quadratic equation

Answers

Answer:

x^2 + 2x = 1 = - 1

Step-by-step explanation:

x^2 + 2x + 3 = 1

x^2 + 2x + 3 - 2 = 1 - 2

x^2 + 2x + 1 = - 1

if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00

Answers

Answer:

A.

Step-by-step explanation:

it is the only one that makes sense, because it deals with 8th graders, all others include gender which i do not think that matters.

HELP PLS Find the measure of the angle indicated.

Answers

Answer:

I think that that angle would also be 102 degrees.


I’m begging for someone to help me with this so bad it about in order largest to small et) (NO LINKS) (NO LYING) IT MUST BE THa. PART 3

Answers

Answer:

1) AM, MY, AY

2) GY, GQ, QY

3) QM, QG, MG

4) YX, YG, XG

Step-by-step explanation:

In triangles, the shortest side is always the side that is directly across from the smallest angle while the longest side is always the side that is directly across from the largest angle.

Using this concept, we can answer the questions;

1) Largest side = AM

Smallest side = AY

Arranging from largest to smallest side;

AM, MY, AY

2) Largest side = GY

Shortest side = QY

Arranging from largest to smallest side;

GY, GQ, QY

3) Largest side = QM

Shortest side = MG

Arranging from largest to smallest side;

QM, QG, MG

4) Largest side = YX

Smallest side = XG

Arranging from largest to smallest side;

YX, YG, XG

I need the median the mode the range and the mean plz help the numbers are 13, 21, 14, 29,26, 14, 23.
Plz help

Answers

Answer:

Mean: 20

Median: 21

Mode: 14

Range: 16

Answer:

the median is 21. the mode is 14 and the range is 16

Step-by-step explanation:

Five surf shops sell the same pair of flip-flops for the following prices: $17.00, $15.50, $15.00, $18.00, $15.00. Find the mean, median, and mode of the data to determine which measure of center and which measure of variability best describe the data.

The mean is $
. The median is $
. The mode is $
.

The
best describes the data, so the
is the better measure of variability.

Answers

Answer:

Mean: $16.1

Median: $15.00

Mode:$15.00

The mode best describes the data, so the mean is the better measure of variability.

Step-by-step explanation:

How to find the mean:

Add up each value on the data set, then divide it by the number of values on the data set. (Example: $17.00 + $15.50+$15.00+$18.00+$15.00= 80.5/5=16.1)

How to find the median: Order your values from least to greatest, then find the value in the center.

How to find mode: Look for the most frequent value in the data set. What value shows up the most?

Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].

Here, the mode best describes the data, so the mean is the better measure of variability.

What is the mean, median, mode?

Mean, median, and mode are the measures of central tendency, used to study the various characteristics of a given set of data. A measure of central tendency describes a set of data by identifying the central position in the data set as a single value.

Here given data is

$[tex]17.00[/tex], $[tex]15.50[/tex], $[tex]15.00[/tex], $[tex]18.00[/tex], $[tex]15.00[/tex]

Here,

Mean is the sum of all values divided by number of observation

i.e,

[tex]\frac{17.00+15.50+15.00+18.00+15.00}{5}=\frac{80.5}{5}\\\\\\=16.1[/tex]

Median is the middle value of the data, firstly we arrange the data in ascending order

[tex]15.00,15.00,15.50,17.00,18.00[/tex]

So, the middle value is [tex]15.50[/tex] $.

Mode is the repetition of the same number in the data

[tex]15.00,15.00,15.50,17.00,18.00[/tex]

Then, [tex]15.00[/tex] is the mode of the given data.

Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].

Here, the mode best describes the data, so the mean is the better measure of variability.

To know more about the mean, median and mode

https://brainly.com/question/3183994

#SPJ2

(33x3+6x-9)+(-33x3+9x2-10)

Answers

(33x3+6x-9)+(-33x3+9x2-10) = -46

Answer:

9x² + 6x -19

Step-by-step explanation:

= 33x³ + 6x - 9 - 33x³ + 9x² -10

= 33x³ - 33x³ + 9x² + 6x -10 -9

= 9x² + 6x -19

A group of 25 people are going to run a race. The top 8 finishers advance to the finals.

Answers

what’s the question

I NEED THIS ANSWER ASAP


In this Truss Bridge, parallelograms QRST and WXYZ are congruent. If ST=32 ft, what is ST?

Answers

Answer:

don't click the link the bot put it's a bad link btw

Answer: 32ft

Step-by-step explanation:

got it right

Kam
Find the area of this
irregular figure.
-9 ft
[?] square feet
8 ft
15 ft
26 ft

Answers

Answer:

c

Step-by-step explanation:

im on plato just passed the test

PLEASE HELPPO?!!!! Look at the attachment below

Answers

Answer:

157

Step-by-step explanation:

just trust me bro

Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year

Answers

Given:

Principal = $14000

Rate of interest = 10% compounded semiannually.

Time = 11 years.

To find:

The accumulated value of the given investment.

Solution:

Formula for amount or accumulated value after compound interest is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

Compounded semiannually means interest compounded 2 times in an years.

Putting [tex]P=14000,r=0.10,n=2,t=11[/tex] in the above formula, we get

[tex]A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}[/tex]

[tex]A=14000\left(1+0.05\right)^{22}[/tex]

[tex]A=14000\left(1.05\right)^{22}[/tex]

[tex]A\approx 40953.65[/tex]

Therefore, the accumulated value of the given investment is $40953.65.

Answer:

A = $41,867.06

A = P + I where

P (principal) = $14,000.00

I (interest) = $27,867.06

Step-by-step explanation:

Given: Investment = $14,000 Annual Rate: 10% compounded semiannually = 11 year

To find: The accumulated value of an investment

Formula: [tex]A = P(1 + \frac{r}{n}) ^n^t[/tex]

Solution: First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 14,000.00(1 + 0.1/12)(12)(11)

A = 14,000.00(1 + 0.008333333)(132)

A = $41,867.06

Henceforth:

The total amount accrued, principal plus interest, with compound interest on a principal of $14,000.00 at a rate of 10% per year compounded 12 times per year over 11 years is $41,867.06.

12 6 12 24
Select one:

A. 240 square units
B. 252 square units
C. 180 square units
D. 216 square units​

Answers

Answer:

B

Step-by-step explanation:

divide the given polygon into two (a square and a trapeziumarea of trapezium=1/2(a+b)×b 1/2(12+6)×12 ans 108square unitarea of a square=s×s 12×12 =144square unitadd 108+144=252square unit

A golf cart priced at $5,600 was on sale for 20% off. The sales tax rate is 6%. What is the sale price of the golf cart, including tax?​

Answers

Answer:

4,748.80

Step-by-step explanation:

Mrs.biillitti bought 3 pounds of red grapes and 2.5 all grapes cost $1.28 per pound how much money did she spend

Answers

Answer:

$9.60

Step-by-step explanation:

2.5 x 3=7.5

7.5 x 1.28=9.6

so the answer would be $9.60 I think.

rewrite each fraction with a denominator of 10 7/2=? 3/5=?​

Answers

the answer is 35/10 and 6/10

What is 0.8 m3 when converted in cm3?

Answers

Answer:

80 cm3

Step-by-step explanation:

100 cm = 1 m

.8m * 100 - 80cm

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