Question 44

If the value of $$\theta$$ =30°, then value of $$\tan^2 \theta + \cot^2 \theta$$

Solution

$$\tan^2 \theta + \cot^2 \theta$$

$$\tan^230 + \cot^230$$

$$\left(\frac{1}{\sqrt{\ 3}}\right)^2+\left(\sqrt{\ 3}\right)^2=\frac{1}{3}+3=\frac{10}{3}$$ .

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