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| 1. |
(Cot-cosec) ^2=1-cos/1+cos |
| Answer» LHS,(cot-cosec)²=(cos/sin-1/sin)²=(cos-1/sin)²=cos²+1-2cos/sin²=2-2cos-1+cos²/1-cos²=2(1-cos)-1(1-cos²)/1-cos²=2(1-cos)-1((1-cos)(1+cos))/(1-cos)(1+cos)=(1-cos)(2-1-cos)/(1-cos)(1+cos)Hence,(1-cos)/(1+cos) prove. | |