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tan 5° tan 25° tan 30° tan 65° tan 85° = ?(a) √3(b) 1√3(c) 1(d) none of these |
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Answer» Correct answer = (b) 1/√3 We have tan 5° tan 25° tan 30° tan 65° tan 85° = tan 5° tan 25° tan 30° tan(90° − 25°) tan(90° − 5°) = tan 5° tan 25° × 1/√3 × cot 25° cot 5° [∵ tan(90° − θ) = cot θ and tan 30° = 1/√3 ] = 1/√3 |
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