Question

if tan theta equal to 4 find the value of 5 sin theta minus 3 cos theta upon 5 sin theta + 2 cos theta

Answer 1

if 5 tan \theta = 4
then
tan\theta = 4/5

now
(5 sin\theta – 3cos\theta) / (5 sin\theta + 2cos\theta)
divide by cos \theta in both numerator and denominator
(5 tan\theta – 3) / (5 tan\theta + 2)
put the value of tan \theta
(4 – 3) / (4 + 2)
= 1/6