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Simplify (sin2a+ cos2a + cot2a) |
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Answer» Step-by-step EXPLANATION: =(sinA+cosecA)²+(cosA+secA)² =sin²A+cosec²A+2sinAcosecA+cos²A+sec²A+2cosAsecA =sin²A+cos²A+cosec²A+sec²A+2sinA×1/sinA+2cosA×1/cosA =1+cosec²A+sec²A+2+2 =5+(1+cot²A)+(1+tan²A) =7+tan²A+cot²A Identities used: 1+tan²A=sec²A 1+cot²A=cosec²A sin²A+cos²A=1 cosecA=1/sinA secA=1/cosA |
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