Introduction to Trigonometry Q1 — Class 10 Maths Solution

Maths Introduction to Trigonometry Medium

Evaluate the following:

(i) $sin 6 0^{\circ} cos 3 0^{\circ} + sin 3 0^{\circ} cos 6 0^{\circ}$
(ii) $2 tan^{2} 4 5^{\circ} + cos^{2} 3 0^{\circ} - sin^{2} 6 0^{\circ}$
(iii) $\frac{cos 4 5 ^{\circ}}{sec 3 0 ^{\circ} + csc 3 0 ^{\circ}}$
(iv) $\frac{sin 3 0 ^{\circ} + tan 4 5 ^{\circ} - csc 6 0 ^{\circ}}{sec 3 0 ^{\circ} + cos 6 0 ^{\circ} + cot 4 5 ^{\circ}}$
(v) $\frac{5 cos ^{2} 6 0 ^{\circ} + 4 sec ^{2} 3 0 ^{\circ} - tan ^{2} 4 5 ^{\circ}}{sin ^{2} 3 0 ^{\circ} + cos ^{2} 3 0 ^{\circ}}$ .

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