Mathematics High School

Prove that :
Question 1 :
[tex]\frac{cos\theta - sin^2\theta +1}{sin \theta(1+cos \theta )} = cot \theta[/tex]

Question 2:
[tex]\frac{tan\theta +sin \theta}{tan\theta - sin\theta} =\frac{sec\theta +1 }{sec \theta -1}[/tex]

Answers

Answer 1

Answer:

Identities used

sin²θ + cos²θ = 1cosθ / sinθ = cotθsinθ/cosθ = tanθ1/cosθ = secθ

Question 1

(cosθ - sin²θ + 1) / sinθ(1 + cosθ) = (cosθ + cos²θ) / sinθ(1 + cosθ) = cosθ(1 + cosθ) / sinθ(1 + cosθ) = cosθ / sinθ =cotθ

Question 2

(tanθ + sinθ) / (tanθ - sinθ) = (sinθ/cosθ + sinθ) / (sinθ/cosθ - sinθ) = sinθ(1/cosθ + 1) / sinθ(1/cosθ - 1) = (1/cosθ + 1) / (1/cosθ - 1) = (secθ + 1) / (secθ - 1)
Answer 2

Please find attached herewith the solutions of your questions.

Hope it helps.

If you have any query, feel free to ask.

Prove That :Question 1 :[tex]\frac{cos\theta - Sin^2\theta +1}{sin \theta(1+cos \theta )} = Cot \theta[/tex]Question

Related Questions

For what intervals of x is f(x) increasing

Answers

Answer:

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.


HELP I NEED HELP QUICKLY PLEASEEEE

Answers

x= 11
A= 61
B=107
C=12
I hope it’s correct. Please correct me if it’s wrong. I upload a picture of my work.

Jenny had 7 dimes and 3 pennies in her She takes a coin out from her pocket, looks at
the coin and then replaces it her pocket before she removes a second coin. What is
the probability she will not take out a penny both times?
F. 3/10
O G. 9/100
O H. 49/100
O J. 21/100
1 pts

Answers

I’m not sure but I think it’s the there one
I think it’s the last oen

Use complete sentences to describe the transformation of triangle A B C onto its image https://assets.learnosity.com/organisations/328/604bc4c5-40e0-40a9-b619-db7bc4d7f232/img_geoccu10t13a_4.gif

Answers

It doesnt let you open the image.

Answer:

                                                                                                                 

Step-by-step explanation:

                                                                   

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

sum of interior angles of the octagon is 1080 degree

Step-by-step explanation:

forluma:

(n-2)*180 degree

since octagon has 8 sides

(8-2)*180 degree

6*180

1080 degree

Find the surface area of the hexagonal pyramid.

The base area is 166.3 cm2.

Answers

Answer:

The surface area of the hexagonal pyramid is 291.93 cm2

Step-by-step explanation:

The complete question is

Given -

Base area of pyramid = 166.3 cm2

Height of the pyramid = 12 cm

Surface area of hexagonal pyramid is

[tex]A=\frac{1}{3} * 3^{\frac{3}{4}}*\sqrt{A_B*(6h^2+\sqrt{3} A_B)+A_B}[/tex]

Here AB is the base area and h is the height

Substituting the given values we get

[tex]A=\frac{1}{3} * 3^{\frac{3}{4}}*\sqrt{166.3*(6*12^2+\sqrt{3} * 166.3)+166.3}\\A = \frac{1}{3} * 2 * \sqrt{(166.3 *1152.04)+166.3)}\\A = \frac{2}{3} * 437.893\\A = 291.93 }[/tex]

The surface area of the hexagonal pyramid is 291.93 cm2

Dina started swimming at 3:35 P.M. She swam until 4:20 P.M. How long did Dina swim for?

Answers

Answer:

she swim 45 min .from 3.35 to 4:00 .25 min come and add with 20 =45

LOOK AT THE PICTURE PLZ NEED HELP

Answers

Answer:

J. 1.26

Step-by-step explanation:

Because it's getting multiplied by 1.26 every year.

You choose a marble at random from a bag containing:
3 blue marbles
7 red marbles
4 green marbles
What is the probability that you pick a red marble, replace it, and then pick a
green marble?
Express your answer in percentage form, round to the nearest tenth.

Answers

Answer: 14.3%

Step-by-step explanation:

3 blue

7 red

4 green

14 total

pick a red: 7/14

replace it

pick a green: 4/14

7/14*4/14 = 1/7 or 14.285714%

rounded that is 14.3%

Could someone help me, you’ll get brainlest!!

Answers

87 I think I’m not too sure tho

Answer:

C

Step-by-step explanation:

[tex]x = 180 - (50 + 62) = 180 - 50 - 62 = 68[/tex]

A triangle has sides with length of 11 feet 12 feet and 13 feet. Is it a right triangle

Answers

Answer:

No

Step-by-step explanation:

It will be a right triangle if it follows Pyhthagoras Theorem . Where the sum of squares of two smaller sides is equal to the square of the 3rd side. Let's check ,

→ 11²+ 12² = 13²

→ 121 + 144 = 169

→ 265 ≠ 169

Hence the ∆ is not a right angled triangle

Find the number of faces, edges, and vertices of the solid. Please help me with this problem!

Answers

Answer:

Faces: 7, Edges: 12, Vertices: 7

Step-by-step explanation:

Just count them

Identify the figure below. Select all names that apply

Answers

Answer:D and A

Step-by-step explanation:

Which of these choices show a pair of equivalent expressions? Check all that
apply.
A. 41/5 and (VA)
OB. 82/9 and (18)
O c. 127/2 and (112)
D. (3/125) and 1257/3

Answers

Answer:

C and D.

Step-by-step explanation:

AP EX Confirmed

If you had $1000 and it earned 5% interest for one year, you would have earned __________in interest that year.

Answers

Answer:

Simple interest = P × R × T/ 100

simple interst = 1000 × 5 × 1 / 100

simple interst = 10 × 5 × 1 = 50

one year interst = $ 50

Simplify the below expression.

Answers

Answer:

anything to the 0 power is equal to 1

everything contained in the expression is raised to the power 0

therefore the simplified answer is 1

Step-by-step explanation:

plzzzz him me i will give brainiest

Answers

Answer:

Step-by-step explanation:

you have to

first multiply the numbers you have in the column with the ones in the rows

8x* 5x = 40x² top left

8x* (-3) = -24x bottom left

-1 * 5x = -5x top right

-1* (-3) = 3 bottom right

second add and subtract all

40x²-24x-5x+3 = 40x²-29x+3

need help ! no links and no fake answer

Answers

Answer:

give the full question

plssssss

A farm allows customers to cut their own Christmas trees. The farm uses the equation y = 15x + 10 to determine the total charge, Y,
based on the number of trees, x, the customer purchases. A customer was charged $460. How many trees did the customer purchase?

a- 10 trees
b- 30 trees
c- 31 trees
d- 15 trees

Answers

Answer:

Step-by-step explanation:

The answer would be b, 30 trees, the reasoning is in the photo, hope this helps!

a statistical question will be answered by a distribution of result's true are false?

Answers

Answer:

True :)

Please mark me brainliest!

hii! please help asap. i’ll give brainliest!

Answers

Answer:

D

Step-by-step explanation:

I've had these kind of questions on tests

Answer:

Your answer is D

Step-by-step explanation:

The median of a box and whiskers plot is marked by a vertical line inside the box.

2x^2+11x+5=0
Check all that apply

Answers

Answer:

B and F

Step-by-step explanation:

X = -1/2

X = -5

Answer:

x = -1/2, x = -5

Step-by-step explanation:

2x^2+11x+5 = 0

Solve by factoring:

(2x+1)(x+5) = 0, or:

(2x+1) = 0

(x+5) = 0

(2x+1) = 0: x = -1/2

(x+5) = 0: x = -5

Solve: 4x < -16

PLEASE HELPPPP

Answers

Answer:

C

Step-by-step explanation:

Divide the two member by 4

if we divide by a positive number, the sign of the inequality remains the same

x < -4

solve this parallelogram angle

Answers

Answer:

103

Step-by-step explanation:

angles formed on the same line of a parallelogram are supplementary angles

( the angle with the measure of 77 degrees and the angle labeled "x" are formed on the same line which means they are supplementary )

supplementary angles add up to equal 180

hence, 77 + x = 180

180 - 77 = 103

Hence, x = 103

Answer:

103°

Step-by-step explanation:

Hint :sum of angles of quadrilateral = 180°Simplify:

77° + x° = 180°

x° = 180° - 77°

x° = 103

Hope it is helpful....

math

please help me solve this, i do not understand it at all

Answers

Answer:

a = -4, 5

Step-by-step explanation:

You're looking to find points whose limits are equal to -4, which means that they must fufill two requirements:

The values immediately outside the point are pretty much -4The two sides must both be close to -4.

Additionally, if a point is simply equal to -4, the limit will also be equal to -4.

Image point B'(4, -8) was transformed using the translation (x - 2, y + 3). What were the coordinates of B?

(2, -5)
(6, -11)
(2, -11)
(6, -5)

Answers

Answer:

(2 , -5)

Step-by-step explanation:

__________________

The triangular face of the given prism has an interior angle with a measure of 55° and an exterior angle with a measure of 95°. What is the measure of the marked interior angle?

Answers

Answer:

40 degrees

Step-by-step explanation:

sum of angles in a triangle = 180 degrees

if the exterior angle measures = 95, the interior angle beside it would measure 180 - 95 = 85

marked interior angle = 180 - (85 + 55) = 40 degrees

Answer:

As ewomazinoade states 40° should be the correct answer.

I need help on this question I am stuck​

Answers

Answer:

X = 74

Step-by-step explanation:

106 + x = 180

X = 180 - 106

X = 74

X=74

180-106=74
Hope this helps!

Which expression is equivalent to 6k? – 7k – 20?
A (3k-4)(2k-5)
B (6k-5)(6k+4)
C (3k+4)(2k-5)
D (3k+4)(3k+5)

Answers

Answer:

Your answer is C, (3k+4)(2k-5)

Step-by-step explanation:

 Which is this?

A) Angle of Elevation

B) 45-45-90 Triangle Theorem

C) Geometric Mean (Altitude) Theorem

D) 30-60-90 Triangle Theorem

E) Geometric Mean

F) Converse of The Pythagorean

G) Cosine Ration

H) Angle of depression

I) Area of the triangle

Answers

The answer is I. Area of a triangle
Other Questions
Find the final amount of money in an account if $6,700 is deposited at 7% interest compounded weekly and the money is left for 10 years. 50 POINTS! The two types of creditors in a bankruptcy are with interest and without interest.TrueFalse write the slop intercept form of the equations below. 1. slope= 1/4,y intercept = 42. y-5=-4(x+1) EMERGENCY PLS HELP: Write a ratio that gives the tangent of A family is purchasing concrete in order to create a foundation for a rectangular outdoorpatio. The rectangular patio is to be 15 feet wide and 17 feet long. To meetspecifications, the concrete must be poured to a depth of 6 inches. Large amounts ofconcrete can be purchased by the cubic yard. How many cubic yards of concrete will ittake to construct the patio. Round your answer to the nearest tenth. Solve the following system of equations algebraically:y = x^2+5x-13y = 3x 5(Help please ) Can someone help me The points plotted below are on the graph of a polynomial. Which of thefollowing x-values is the best approximation of a root of the polynomial?Check all that apply. The owner of a music store wanted to box a shipment of 1,532 CDs in 36 boxes. If he puts them evenly in the 36 boxes, how many will be left over? la tristeza es una magnitud Help me :) with this i will give brainliest I am the layer of soil that is located underneath the topsoil. I have less humus than topsoil. What am I? Change both fractions to improper fractions. Then, do KCF.I NEED HELP (5x+3)(5x+3)gghhhhhhhh Which natural hazards are most likely to affect Florida, due to its geography? Check all that apply.O droughtO undersea earthquakesO floodsO rip currentsO tropical cyclonesO tsunamisO wildfires What is the probability of drawing an 8, heart or diamond from a deck of 52 cards?43%54%58%17% arePLEASE HELP QUICK!!!What types of organismsbeing modified through genetic engineering?A. all organismsB. bacteria onlyC. plants only What two reactants are needed to undergo the process of cellular respiration? the sum of three consecutive multiples of 7 is 44. Find the multiples. a scuba diver, who was 25 2/3 feet beneath the surface of the water, descended 5 1/2 feet. from this depth, how many feet must the diver rise to return to the surface?