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ICSE Class 10 Answered

Cosec^4A - cosec^2A = cot^4 + cot^2
Asked by Arihantkothari33 | 11 Jul, 2019, 07:17: PM
answered-by-expert Expert Answer
Cosec4A - cosec2A = cot4 A + cot2 A
LHS = (1 + cot2 A)2 - (1 + cot2 A)
       = 1 + 2cot2 A + cot4 A - 1 - cot2 A
       = cot2 A + cot4 A
       = RHS
Hence, Cosec4A - cosec2A = cot4 A + cot2 A
Answered by Sneha shidid | 12 Jul, 2019, 09:38: AM

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