1.

(sinA+cosecA)2+(cosA+secA)2=7+tan2A+cot2A

Answer» Taking LHS(SinA+CosecA)²+(CosA+SecA)²=Sin²A+Cosec²A+2sinAcosecA+Cos²A+2cosAsecA+sec²A=Sin²A+Cos²A+Cosec²A+Sec²A+2cosAsecA+2sinAcosecA=1+1+cot²A+1+tan²A+2cosA*1/cosA+2sinA*1/sinA=2+2+2+1+tan²A+cot²A=7+tan²A+cot²A


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