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teachoo.com
Ex 3.3, 3 - Prove that cot2 pi/6 cosec 5pi/6 3 tan2 pi/6 = 6
Ex 3.3, 3Prove that cot2 π/6 cosec 5π/6 3 tan2 π/6 = 6Solving L.H.S. cot2 π/6 cosec 5π/6 3 tan2 π/6 Putting π = 180°= cot2(180/6) cosec((5 ×180)/6) 3 tan2(180/6)= cot2 30° cosec (150°) 3tan2 30° Here, tan 30° = 1/√3cot 30° = 1/tan〖30°〗 = 1/(1/√3)
Dec 13, 2024
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