Question

Find tan0, cos0, and csc0, where 0 is the angle shown in the figure. Give exact values, not decimal approximations. BRANLIEST!!​

Answer 1

Answer:

see explanation

Step-by-step explanation:

We require to find the third side of the triangle.

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x represent the third side, then

x² + 15² = 17², that is

x² + 225 = 289 ( subtract 225 from both sides )

x² = 64 ( take the square root of both sides )

x = $\sqrt{64}$ = 8

Thus

tanΘ = $\frac{opposite}{adjacent}$ = $\frac{15}{8}$

cosΘ = $\frac{adjacent}{hypotenuse}$ = $\frac{8}{17}$

sinΘ = $\frac{opposite}{hypotenuse}$ = $\frac{15}{17}$

cscΘ = $\frac{1}{sin0}$ = $\frac{1}{\frac{15}{17} }$ = $\frac{17}{15}$