Question

If 8 tan x = 15, then sin x - cos x is equal to
A. 7/17
B. 17/7
C. 1/17
D.7/17

Answer 1

Answer:

8tanx=15

tanx=15/8

by drawing the triangle,we get

By Pythagorean theorem

x^2=8^2+15^2

x^2=64+225

x^2=289

x= root of 289

x=17

Now substitute in given equation

sin x-cos x

15/17-8/17

7/17

now the answer is both A &D

hope it will help you

Answer 2

D.7/17

Step-by-step explanation:

Given: 8 tan x = 15

Find: sin x - cos x

Solution:

tan x = 15/8

Height =15

Adjacent=8

Hypotenuse =17

So Sin x = 15/17 and Cos x = 8/17

 Now sin x - cos x = 15/17 - 8/17

= 7/17

Option D is the answer.