Question 62

If $$tan 45^{\circ}=cot\theta$$, then the value of θ, in radians is

Solution

Expression : $$tan 45^{\circ}=cot\theta$$

=> $$cot\theta=1$$

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

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

Now, $$180^\circ = \pi^c$$

=> $$45^\circ = \pi \times \frac{45}{180}=\frac{\pi}{4}$$ radians

=> Ans - (D)

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