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  • The value of sin 50°– sin 70° + sin 10° is equal to A. 1 B. 0 C. 1/2 D. 2

The value of \sin 50 ^{\circ} - \sin 70 ^{\circ} + \sin 10 ^{\circ}     is equal to

A. 1

B. 0

C.1/2

D. 2

Answers (1)

The answer is the option (b). 

\\\\ \sin 50 - \sin 70+\sin 10=2\cos \frac{50+70}{2}\sin \frac{50 - 70}{2}+\sin 10 \\\\ =2\cos 60\sin \left( - 10 \right) +\sin 10 \\\\ = - 2 \times \frac{1}{2} \times \sin 10+\sin 10=0 \\\\

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infoexpert21

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