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antoniya [11.8K]
2 years ago
7

Prove that \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta}

Mathematics
1 answer:
Bogdan [553]2 years ago
7 0

Answer:

sin^2(θ)+cos^2(θ)=1

Step-by-step explanation:

We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.

To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ

Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.

Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.

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makvit [3.9K]

Answer:

Y=21

Step-by-step explanation:

add 13 on both sides you get Y=21

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2 years ago
Order the following number from smallest to largest. <br><br>25, 10, -15, 0, -5​
blondinia [14]

Answer:

-15, -5, 0, 10, 25

Step-by-step explanation:

The highest negative integer would be the smallest number, the the largest positive number would be the largest.

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3 years ago
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Answer:

3.50x+6.50=y

Step-by-step explanation:

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2 years ago
The graph of this system of equations is used to solve 4x2-3+6=2x4-9x3+2x What represents the solution set?
Vilka [71]

ANSWER

x coordinates of the intersection points

EXPLANATION

The given system of equations is:

y = 4 {x}^{2}  - 3x + 6

y = 2 {x}^{4}  - 9 {x}^{3}  + 2x

We want to use the graph of these functions to solve

4 {x}^{2}  - 3x + 6 =  2 {x}^{4}  - 9 {x}^{3}  + 2x

The point of the intersection of the graph gives the solution to the simultaneous equation above.

Hence the x-coordinates of the intersection points gives the solution set of

4 {x}^{2}  - 3x + 6 =  2 {x}^{4}  - 9 {x}^{3}  + 2x

The last choice is correct.

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2 years ago
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