Question

If sinO secO = -1 and o lies in the second quadrant , find sinO and secO​

Answer 1

Answer:

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>>If sinthetasectheta = - 1 and theta lie

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If sinθsecθ=−1 and θ lies in the second quadrant, find sinθ and secθ.

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Solution

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Correct option is A)

Given: sinθsecθ=−1

⇒sinθ×

cosθ

1

=−1

⇒sin

2

θ=cos

2

θ

⇒sin

2

θ=1−sin

2

θ

⇒sin

2

θ=

2

1

⇒sinθ=±

2

1

As θ lies in second quadrant ;

⇒θ=

4

3π

⇒sinθ=sin

4

3π

=

2

1

⇒secθ=sec

4

3π

=−

2

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