Question

if 3 tan 0=5, the find 3 sin0 - 5 cos0 / 3 sin0 + 5 cos0
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Answer 1

Answer:3

Step-by-step explanation:

3sinθ+5cosθ=5⇒3sinθ=5(1−cosθ)  

⇒3.2sinθ2cosθ2=5.2sin2θ2

(∵sinθ=2sinθ2cosθ2and1−cosθ=2sin2θ2)

⇒tanθ2=35

Now , 5sinθ−3cosθ

=5.2tanθ21+tan2θ2−3.1−tan2θ21+tan2θ2

=5.2.35(1+925)−3.(1−925)(1+925)

=6−3.16251+925=150−4834=10234=3.