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Multiple Choice Questions

Find the value of sin2 10 sin2 20 sin2 30 sin2 80 ........

Quantitative Aptitude ( CCS) Trignometry

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Find the value of sin² 10 + sin² 20 + sin² 30 + ....... + sin² 80.

2

3

1

4

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Explanation:

We can rewrite above equation as

sin² 10 + sin² 80 + sin² 20 + sin² 70 + sin² 30 + sin² 60 + sin² 40 + sin² 50 ….. equation (A)

We know that sin² x + sin² (90 – x) = 1

Therefore equation A becomes
1 + 1 + 1 + 1 = 4

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