1.

If 5 tan theta = 4, find the value of 5sin theta - 3 cos theta / 5 sin theta + 2 cos theta

Answer»

Step-by-step EXPLANATION:

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


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