Question

if 8tanx=15, then evaluate sinx – cosx.

Answer 1

Answer:

Step-by-step explanation:

8tanx=15

tanx=15/8 = perpendicular /base

In a right triangle,

(Perpendicular)² + (Base)²= (Hypotenuse)²

(15)²+(8)²=(hypotenuse)²

√225+64=hypotenuse

Hypotenuse =√289=17

Sinx=perpendicular/hypotenuse=15/17

Cosx=base/hypotenuse=8/17

Sinx-cosx = 15/17-8/17 = 7/17

Hope this will help you