Question

if 8 cos x+15 sinx=15 and cos x is not equal to zero then 8 sin x-15 cos x =

Answer 1

Step-by-step explanation:

(8cosx+15sinx)^2 +(8sinx-15cosx)^2

= 64(cos^2x + sin^2x) + 225( cos^2x+sin^2x)

=64+225=289

(8sinx-15cosx) =

$\sqrt{289 - 225}$

(8sinx-15cosx)=

=

$\sqrt{64}$

=8