Math, asked by ahmedmahira952, 7 months ago

Prove (SinA + Cosec A)² + (cosA + secA)²= 7 + tan²A + cot²A​

Answers

Answered by cheffishg3094
5

Answer:

PROVED

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

LHS = RHS

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Answered by anushkamishra35
4

Answer:

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Step-by-step explanation:

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

LHS = RHS

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