Question

if sin 7 theta = cos 2 theta then find √3 tan 3 theta = _____​

Answer 1

Answer:

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Step-by-step explanation:

sin7θ=cos2θ

∴sin7θ=sin(90∘−2θ)

⇒7θ=90∘−2θ

⇒7θ+2θ=90∘

⇒9θ=90∘

⇒θ=10∘

Now,2sin3θ−3tan3θ=2sin3×10∘−

√3tan310∘

=2sin30∘−√3tan30∘

=2×1/2−√3×1/√3=1−1=0

Hope it helps you.