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Question 57
Which among the following is an irrational quantity?
(a) $$\tan 30^\circ \tan 60^\circ$$
(b) $$\sin 30^\circ$$
(c) $$\tan 45^\circ$$
(d) $$\cos 30^\circ$$
Solution
(a) $$\tan 30^\circ \tan 60^\circ= \frac{1}{\sqrt{3}}\times\sqrt{3}=1$$
(b) $$\sin 30^\circ=\frac{1}{2}$$
(c) $$\tan 45^\circ=1$$
(d) $$\cos 30^\circ=\frac{\sqrt{3}}{2}$$
Hence, Ans is D
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