Mathematics · Trigonometry

Find the sum of the series: 1sin 1° sin 2° + 1sin 2° sin 3° + ... + 1sin 89° sin 90°.

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1sin 1°tan 1°
21sin2 1°
3cot 1°sin 1°✓
4tan 1°cos 1°

Correct answer

cot 1°sin 1°

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Find the sum of the series: 1sin 1° sin 2° + 1sin 2° sin 3° + ... + 1sin 89° sin 90°.

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Find the sum of the series: 1sin 1° sin 2° + 1sin 2° sin 3° + ... + 1sin 89° sin 90°.

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