Question

If sin A +cosec A=2 . find the value of tan^2A +cot^2A​

Answer 1

Step-by-step explanation:

sin A+ cosecA=2

or, (sin A+ cosecA)²=2²

or, sin²A+ cosec²A+2sinAcosecA=4

or, sin²A+ cosec²A+2=4( as cosec A=1/cos A)

or, sin²A+ cosec²A= 4-2

or, sin²A+ cosec²A=2

or, sin²A+ cosec²A= 2

cos²A cos²A

or, tan²A+ cot²A= 2/cos²A

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