Question 12 of 18intermediate🔧 ApplyShort Answer4 marks

Choose the correct option and justify your choice:

(i)

2tan⁡30∘1+tan⁡230∘=\frac{2 \tan 30^\circ}{1 + \tan^2 30^\circ} =

Answer

A

(ii)

1−tan⁡245∘1+tan⁡245∘=\frac{1 - \tan^2 45^\circ}{1 + \tan^2 45^\circ} =

Answer

D

(iii)

sin⁡2A=2sin⁡A\sin 2A = 2 \sin A is true when A=A =

Answer

A

(iv)

2tan⁡30∘1−tan⁡230∘=\frac{2 \tan 30^\circ}{1 - \tan^2 30^\circ} =

Answer

C

Explanation

This is Exercise 8.2, Question 2 from the NCERT textbook. Each part requires evaluating trigonometric expressions using standard values and identities.

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