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If cosec2 x - cosec x = 1, then cot6 x + 3cot10 x - 3cot8 x - cot12 x + 4 =? |
4 3 -3 -4 |
3 |
cot6 x+ 3cot10 x - 3cot8 x - cot12 x + 4 ⇒ (cot2 x - cot4 x)3 + 4 Now, cosec2 x - cosec x = 1 (cot2 x - cosec2 x)3 + 4 1 - cosec2 x = cosec x (-1)3 + 4 cot2 x = cosec x (Put in 1) = 3 |
