Question

If Thita is acute and 3 sinThita = 4cosThita. Find the value of 4sin^2Thita - 3cos^2Thita +2.​

Answer 1

Solution:-

4sin 2 θ=1

⇒sin 2 θ= 41

⇒sinθ= 21 or − 21

So, the values of θ are

6π,65π, 6 7π and 6 11π

So, θ takes 4 values.

Hence proved!!

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$\sf\red{Thank\:you!}$