Mathematics (AS & A Level) · May / June 2025 · Paper 13 · Question 2
9709
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The first two terms of a geometric progression are sin 4 2i, sin 8 3i, where i is an angle such that r 0 6 1 1 1 i . Given that the sum to infinity of the progression is 2 1, find the value of i. Give your answer in the form sin k 1 - , where k is a rational number. [4]
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