Question

If sin2θ + sin2ø = 1/2 and cos2θ + cos2ø= 3/2 then cos²(θ+ø) =

Answer 1

Answer

Correct option is

A

90

Given, 2sin

2

θ−cos

2

θ=2

⇒2sin

2

θ−1+sin

2

θ=2

⇒3sin

2

θ−1=2

⇒sin

2

θ=1

⇒sinθ=sin90

0

⇒θ=90

∘

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