If 5θ and 4θ are acute angles satisfying sin 5θ = cos 4θ, then 2 sin 3θ – √3 tan 4θ is equal to

Given,


5θ and 4 θ are acute angles,


Therefore,


5θ + 4θ = 90°


9θ = 90°


θ = 90/9 = 10°


Then value of-


2 sin 3θ - √3 tan 3 θ


Putting value of θ = 10°,


We get,


2 sin 3(10) - 3 tan 3(10)


2 sin 30° - 3 tan 30° [ sin 30° = 1/2 and tan 30° = 1/3]


2× 1/2 - 3 x


1 1 = 0

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