Question

If sin teta is one by two then find value of tan square teta minus sec square teta​

Answer 1

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Answer:

Given sinθ+cosecθ=2

⟹sinθ+

sinθ

1

=2

squaring on both sides

(sinθ+

sinθ

1

)

2

=4

⟹sin

2

θ+

sin

2

θ

1

+2(sinθ)(

sinθ

1

)=4

⟹sin

2

θ+

sin

2

θ

1

+2=4

⟹sin

2

θ+

sin

2

θ

1

=2

⟹sin

2

θ+cosec

2

θ=2