Question 46

If tan θ = tan 30° . tan 60° and θ is an acute angle , then 2θ is equal to

Solution

Expression : $$tan(\theta)=tan(30^\circ)tan(60^\circ)$$

=> $$tan(\theta)=\frac{1}{\sqrt{3}} \times \sqrt{3}$$

=> $$tan(\theta)=1$$

=> $$\theta=tan^{-1}(1)$$

=> $$\theta=45^\circ$$

$$\therefore$$ $$2\theta=2 \times 45=90^\circ$$

=> Ans - (C)

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