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| 1. |
Prove that (1+sinA-cosA)²/(1+sinA+cosA)²=1-cosA/1+cosA |
| Answer» =(1+sin²A+cos²A+2sinA-2sinA.cosA-2cosA)/(1+sin²A+cos²A+2sinA+2sinA.cosA+2cosA)= (1+1+2sinA-2sinA.cosA-2cosA)/(1+1+2sinA+2sinA.cosA+2cosA)= (2+2sinA-2sinA.cosA-2cosA)/(2+2sinA+2sinA.cosA+2cosA)= {2(1+sinA)(1-cosA)}/{2(1+sinA)(1+cosA)= 1-cosA/1+cosA | |