Question

If 3tan(theta-15)=tan(theta+15) then theta is equal to
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Answer 1

Answer:

theta = 45°

Step-by-step explanation:

Break in sin θ & cos θ

3 sin(θ-15)/cos(θ-15)=sin(θ+15)/cos(θ+15)

3 sin(θ-15)cos(θ+15) = sin(θ+15)cos(θ-15)

Now 2sin(θ-15)cos(θ+15) + sin(θ-15)cos(θ+15) - sin(θ+15)cos(θ-15)= 0

or, sin(2θ) + sin(-30°) + sin(-30°) = 0

sin(2θ) = 1

2θ = 90°

θ = 45 °

Note that there may be other shorter way too .