If sinsino = V2 – 1 then the value of sec (90 – 0) is
a) 1. V2
b) V2+1
c) 3. V2
d) 3+2V2
O
Od​

Question

If sinsino = V2 – 1 then the value of sec (90 – 0) is
a) 1. V2
b) V2+1
c) 3. V2
d) 3+2V2
O
Od​

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Lyla 3 months 2021-07-06T16:29:23+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-07-06T16:31:08+00:00

    Answer:

    A

    sinθ=

    2

    1

    ,secθ=−

    2

    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

    ⇒sinθ=sin

    4

    =

    2

    1

    ⇒secθ=sec

    4

    =−

    2

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