Question

if (sin thita + cosec thita) =2 then sin ^2 thita + cosec^2 thita=?



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Answer 1

Answer:

sinθ+cscθ=2

⇒sinθ+

sinθ

1

=2

⇒sin

2

θ−2sinθ+1=0

⇒(sinθ−1)

2

=0

⇒sinθ=1

⇒sin

2

θ+csc

2

θ=sin

2

θ+

sin

2

θ

1

=1+1

=2