Question

If 8 tan x = 15, then find sin x - cos x.

Answer 1

Answer:

8tanx=15

Tanx=15/8

tanx =opp/adi=15/8

according to Pythagorean Theorem

(hyp)^2 =(opp)^2+(adj)^2

=(15)^2+(8)^2

=225+64

=289

=square root of 289

=17

sinx-cosx

=opp/hyp-adj/hyp

=15/17-8/17

=(15-8)/17

=7/17