Question

Find the exact value of sin X, cos X, and tan X

Answer 1

N 4

sinx=7/15 ----> opposite side divided by the hypotenuse in a right triangle

N 5

cos x

Applying the Pythagorean Theorem

Find out the length of the vertical leg

15^2=a^2+7^2

solve for a

a^2=15^2-7^2

a^2=176

a=√176

therefore

`cosx=\frac{\sqrt[]{176}}{15}`

N6

`\tan x=\frac{7}{\sqrt[]{176}}\cdot\frac{\sqrt[]{176}}{\sqrt[]{176}}=\frac{7\sqrt[]{176}}{176}`