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​

1 thought on “If sinsino = V2 – 1 then the value of sec (90 – 0) is<br />a) 1. V2<br />b) V2+1<br />c) 3. V2<br />d) 3+2V2<br />O<br />Od​”

1. 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

   3π

   ⇒sinθ=sin

   4

   3π

   =

   2

   1

   ⇒secθ=sec

   4

   3π

   =−

   2

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