Introduction to Trigonometry Q2 — Class 10 Maths Solution

Maths Introduction to Trigonometry Medium

Choose the correct option and justify your choice:

(i) $\frac{2 tan 3 0 ^{\circ}}{1 + tan ^{2} 3 0 ^{\circ}} =$ (A) $sin 6 0^{\circ}$ (B) $cos 6 0^{\circ}$ (C) $tan 6 0^{\circ}$ (D) $sin 3 0^{\circ}$ .
(ii) $\frac{1 - tan ^{2} 4 5 ^{\circ}}{1 + tan ^{2} 4 5 ^{\circ}} =$ (A) $tan 9 0^{\circ}$ (B) $1$ (C) $sin 4 5^{\circ}$ (D) $0$ .
(iii) $sin 2 A = 2 sin A$ is true when $A =$ (A) $0^{\circ}$ (B) $3 0^{\circ}$ (C) $4 5^{\circ}$ (D) $6 0^{\circ}$ .
(iv) $\frac{2 tan 3 0 ^{\circ}}{1 - tan ^{2} 3 0 ^{\circ}} =$ (A) $cos 6 0^{\circ}$ (B) $sin 6 0^{\circ}$ (C) $tan 6 0^{\circ}$ (D) $sin 3 0^{\circ}$ .

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