If $theta$ is an angle in standard position on a rectangular coordinate system and the point P(sqrt 7,-3) lies on its terminal side, find do you find the exact value of $cos(theta)$ ?

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If $theta$ is an angle in standard position on a rectangular coordinate system and the point P(sqrt 7,-3) lies on its terminal side, find do you find the exact value of $cos(theta)$ ?

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Answer 1 · 2015-06-16T16:04:40

$cos(theta) = 7/4$

Explanation:

(See diagram)
enter image source here
The value of the hypotenuse can be calculated (as shown) using the Pythagorean Theorem as $sqrt( 7 + (-3)^2) = 4$

The cosine is (by definition) the adjacent side divided by the hypotenuse.

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If $theta$ is an angle in standard position on a rectangular coordinate system and the point P(sqrt 7,-3) lies on its terminal side, find do you find the exact value of $cos(theta)$ ?

1 Answer

Explanation:

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If $theta$ is an angle in standard position on a rectangular coordinate system and the point P(sqrt 7,-3) lies on its terminal side, find do you find the exact value of $cos(theta)$ ?