Question

If sinx+cosecx=2, find the value of sin^2x+cosec^2x

Answer 1

Step-by-step explanation:

We have to find

sin²x + cosec²x

=(sin x + cosec x) ² -2sinx × cosecx

=2² - 2

=2

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Answer 2

● Here ,

given value is

■ sinx + cosecx = 2

sin^2x + cosec^2x

= (sin x + cosecx)^2 - 2sinx cosecx

= (2)^2 - 2

( because sinx cosecx = 1)

= 4 - 2

= 2

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