Let (5,3) be a point on the terminal side of Theta Find the exact values of cosTheta ,cscTheta , and tanTheta cosTheta = cscTheta = tanTheta =

Question

Answer 1

To find the exact values of the trigonometric functions for the angle

with a point

on its terminal side, we can use the following steps:1. Find the radius (hypotenuse) of the right triangle formed by the point

and the origin

. - The radius can be found using the Pythagorean theorem:

.2. Find the cosine of

. - The cosine of

is the ratio of the adjacent side to the hypotenuse:

.3. Find the cosecant of

. - The cosecant of

is the reciprocal of the sine of

:

. - The sine of

is the ratio of the opposite side to the hypotenuse:

. - Therefore,

.4. Find the tangent of

. - The tangent of

is the ratio of the opposite side to the adjacent side:

.In summary, the exact values of the trigonometric functions for the angle

with a point

on its terminal side are:-

-

- $\tan\Theta = \frac{3

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