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Official 2018 Paper 1 · Q20

Paper 1Trigonometry

Find the value of

sin⁡20∘+sin⁡21∘+sin⁡22∘+sin⁡23∘+⋯+sin⁡287∘+sin⁡288∘+sin⁡289∘+sin⁡290∘\begin{aligned} &\sin^2 0^\circ+\sin^2 1^\circ+\sin^2 2^\circ+\sin^2 3^\circ+\cdots\\ &\qquad+\sin^2 87^\circ+\sin^2 88^\circ+\sin^2 89^\circ+\sin^2 90^\circ \end{aligned}
A0.50.5
B11
C1.51.5
D4545
E45.545.5
F4646

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