Mathematics High School

Prove that sin²a + cos²a = 1 and = [tex]\frac{1}{cos^{2}a }[/tex] + tan²a (a not alpha)

$Prove That Sina + Cosa = 1 And = [tex]\frac{1}{cos^{2}a }[/tex] + Tana (a Not Alpha)$

Answers

Answer 1

Answer:

[tex]\frac{1}{cos^2a }= tan^2 a[/tex]

Step-by-step explanation:

Explanation:-

Given sin²a + cos²a = 1

and

[tex]\frac{1}{cos^{2} a} \\= \frac{sin^2a+cos^2a}{cos^2a} \\ \\\\ = \frac{sin^2a}{cos^2a} +\frac{cos^2a}{cos^2a}[/tex]

= tan²a + 1

Related Questions

i really need help- eeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

-2, -5, 2, then 5

Step-by-step explanation:

Answer:

-5, -2, 2, 5

A 2-column table with 4 rows. Column 1 is labeled Store with entries A, B, C, D. Column 2 is labeled Advertised Bread Prices with entries 3 loaves for 5 dollars and 94 cents, 4 loaves for 7 dollars and 80 cents, 5 loaves for 10 dollars and 5 cents, 6 loaves for 12 dollars and 12 cents.

Camillo is making gourmet peanut butter and jelly sandwiches for a food challenge.

PLS HELP ASAP!!What is the unit price of a loaf of bread at each store?

Store A:

Store B:

Store C:

Store D:

Answers

Answer:

Store A:

✔ $1.98 per loaf

Store B:

✔ $1.95 per loaf

Store C:

✔ $2.01 per loaf

Store D:

✔ $2.02 per loaf

Step-by-step explanation:

You draw one card from a standard 52-card
deck. In how many ways could the card be a
face card or a red card?

Answers

Answer:

23%

Step-by-step explanation:

There are 52 cards in a deck… 12 of these are Face Cards (the J - Q - K of all four suits). The probability of getting one of these is therefore 12 out of 52 — or 12/52, which is 23%.

In the diagram mz3= x+ 30 and mz4 =2x-80. What is the measure of angle 3?

Answers

Given:

Consider the below figure attached with this question.

[tex]m\angle 3=(x+30)^\circ[/tex] and [tex]m\angle 4=(2x-80)^\circ[/tex].

To find:

The measure of angle 3.

Solution:

From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.

We know that, vertically opposite angles are always equal. So,

[tex]m\angle 3=m\angle 4[/tex]

[tex](x+30)^\circ=(2x-80)^\circ[/tex]

[tex]x+30=2x-80[/tex]

[tex]x-2x=-30-80[/tex]

[tex]-x=-110[/tex]

[tex]x=110[/tex]

Now,

[tex]m\angle 3=(110+30)^\circ[/tex]

[tex]m\angle 3=140^\circ[/tex]

Therefore, the measure of angle 3 is 140 degrees.

Help please and thank you

Answers

5/12 is what I got
Explanation:

Answer:

I checked it and the person above me is correct. Give em brainlyest! Your welcome other person

Step-by-step explanation:

The ratio of the measures of the sides of a triangles is 9:7:3. If the perimeter of the triangle is 266 inches, find the value of x

Answers

Answer: Depends on which side x is...

Step-by-step explanation:

This is my strategy for finding the values using ratios

Add the ratio together: 9 + 7 + 3 = 19

Divide the perimeter by the sum of the ratio: 266/19 = 14

Now we know what a unit of one is on the ratio: 14

Multiply this unit by the ratio amount

Side with ratio 9: 9 × 14 = 126 inches

Side with ratio 7: 7 × 14 = 98 inches

Side with ratio 3: 3 × 14 = 42 inches

Hope this helps?

Jasmine has taken an online boating course safety course and now completing her end-of-course exam . As she answers each question , the progress bar at the bottom of the screen shows what portion of the test she has finished. She has just completed Question 16 and the progress bar shows she is 20% complete. How many total questions are on the test ?

Answers

Answer:

Step-by-step explanation:

20 percent is 16 questions

then 100/20=5

5 times 16 is 80

will mark brainliest

Answers

Answer:

It would be b

Step-by-step explanation:

Answer:

Answer choice 3

Step-by-step explanation:

Find the perimeter of the image below

Answers

Answer:

Step-by-step explanation:

Answer:

26.1

Step-by-step explanation:

Took the same test lol

determine the domain on the following graph

Answers

Answer:

(-3,7)

Step-by-step explanation:

How many solutions does this equation have?

–2 + 6y = 6y − 2

Answers

Answer:

infinetly many

Step-by-step explanation:

-2+6y=6y-2

6y=6y

0=0

infinetly many

Hope this helps plz hit the crown :D

How do I solve this problem?

Answers

Answer:

Step-by-step explanation:

17-5=12/3=4 so yeah that is all you need to know

The answer 4 and I hope that helps

PLease answer for 10 points

Answers

Answer:

Step-by-step explanation:

help me. please math

Answers

Answer:

$16

Step-by-step explanation:

60 + 4 = 64

64 ÷ 4 = 16

CHECK:

16 x 4 = 64

64 - 4 = 60

Please help me. I will
Mark whoever is first!!!

Answers

Answer:

750

Step-by-step explanation:

3000 divided by 4 =

750

Answer:

750 boxes

Step-by-step explanation:

Nina’s dog weighed 23.54 pounds last year. This year, her dog weighs 25.38 pounds. How many pounds did her dog gain this past year? PLS HELP ME!!!!!!!!!

Answers

Answer:

1.84

Step-by-step explanation:

25.38-23.54

Round 431,857 to the nearest ten thousand

Answers

Answer:

i don' think you can

Step-by-step explanation:

what is y+26(9-x)=290

Answers

Answer:

y = 56 + 26x

Step-by-step explanation:

The angle 0 lies in quadrant 1. sin 0=2/5 what is cos 0?

Answers

Answer:

√21/5

Step-by-step explanation:

Took the quiz:D (that’s a fraction btw)

Are the triangles congruent, if so by what theorem/postulate

Answers

Yes, SSS

PR are already a given side. PS and PQ are also given sides. Lastly, RS and RQ are given sides.

Y = -2
3x + 6y = 12

Answers

Answer:

x=8

Step-by-step explanation:

Yeah x=8 trust me that is the right answer

help me plz .........
.

Answers

Answer:

Step-by-step explanation:

(40+49)+10=89+10=99

3 and 3/4 times 4 and 5/6

Answers

Answer: 3 1 /8

Step-by-step explanation: (3 3 /4 )( 5 /6)

=(15 /4) ( 5 /6 )

= 25 /8

=3 1 /8

2. If 5x + 8 = 4, then 3x = ?
please answer guys

Answers

5x + 8 = 4
5x = -4
x = -4/5
3(-4/5) = -2.4
Solution: 3x = -2.4

Answer:

3x = -2 2/5 or -2.4

Step-by-step explanation:

5x + 8 = 4

5x = 4 - 8

5x = -4

x = -4/5

3x = y If x = -4/5

3 * -4/5 = y

-12/5 = y

-2 2/5 = y

please help me out !!!!!!

Answers

Answer:

B (130°)

Step-by-step explanation:

Because the angles are adjacent that means:

m<ADE + m<CDA = m<CDE

Using this equation, we can find what m<ADE is:

m<ADE = m<CDE - m<CDA

m<ADE = 177° - 47°

m<ADE = 130° (B)

Hope this helps :)

Answer:

Step-by-step explanation:

CDE is 177, meaning it’s not a straight line so it’s 3 degrees from a perfect line so if CDA is 47 add the 3 degrees and see if CDE was a perfect line what answer would get you 180.

A group of 35 students are going on a field trip to the movies. The total cost for the tickets is $123.15. About how much money will each student need to pay for a ticket?

Answers

Answer:

about 4 dollars :)

hope this helps

true of false? the slope of thia equation is zero
y=x+5

Answers

Answer:

false

Step-by-step explanation:

no solution

I did it on a graph and I think its true?

Which matrix respresents the system of equations shown below?
3x - 2y = 12
4x - y = 9

Answers

9514 1404 393

Answer:

Step-by-step explanation:

If you remove the variables and the equal signs from the equations and put brackets around what is left, you have the matrix that represents the equations:

[tex]\left[\begin{array}{ccc}3&-2&12\\4&-1&9\end{array}\right] \qquad\textbf{matches B}[/tex]

_____

Additional comment

You need to be sure the variables are in the same order in both equations, as they are here. If there are equations with missing variables, you need to use a zero (0) coefficient in the missing variable's location.

Which rational number is also an integer

A. - 86 / 6
B. - 65/13
C. 43/5
D. 70/25

Answers

Answer: B) 65/13

This is because 65/13 = 5 when using a calculator or long division. There are no fractional or decimal parts to the result 5, so 5 is an integer.

Something like 86/6 = 14.333 approximately showing the result is not an integer. The same applies to choice C and choice D as well.

Carmen is admiring a statue in Weston Park from 14 feet away. If the distance between the
top of the statue to Carmen's head is 50 feet, how much taller is the statue than Carmen?
feet
Submit
Work it out
Not feeling ready yet? These can help:

Answers

Answer: 36?

It's too short. Write at least 20 characters to explain it well.

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