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If cos 9α = sinα and 9α < 90°, then the value of tan 5α is (a) 1/√3 (b) √3 (c) 1 (d) 0 |
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Answer» (c) 1Explanation:Given,cos 9α = sin α and 9α < 90°That MEANS , 9α is an ACUTE angle.cos 9α = cos(90° – α)9α = 90° – α9α + α = 90°10α = 90°α = 9°TAN 5α = tan(5 × 9°) = tan 45° = 1Step-by-step EXPLANATION: |
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