Prove the following identify, where angle A is an acute angle:
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Here ia ur answer hope it will help u....
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Formulas to use :
Use ( a + b )² = a² + b² + 2 ab
Use sin A cosec A = 1
Use cos A sec A = 1
Use cosec²A = 1 + cot²A
Use sec²A = 1 + tan²A
Given :
( sin A + cosec A )² + ( cos A + sec A )²
= sin²A + cosec²A + 2 sinAcosecA + cos²A + sec²A + 2 cosAsecA
= sin²A + cos²A + 2 + 2 + cosec²A + sec²A
= 1 + 4 + 1 + cot²A + 1 + tan²A
= 7 + tan²A + cot²A
Hence Proved .
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