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if $θ_{1} + θ_{2} = \frac{π}{2} and θ_{1} = 2 θ_{2}$ ,then value of $\sin^{2} θ_{1} + \cos^{2} θ_{2}$ is :

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Correct option is C

θ1 + θ2 = π2 and θ1 = 2θ2⇒ θ1 = π3 and θ2= π6So Sin2θ1 + cos2θ2 = 34 + 34 = 32

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if θ1 + θ2 = π2 and θ1= 2θ2,then value of sin2 θ1 +cos2 θ2 is :

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if $θ_{1} + θ_{2} = \frac{π}{2} and θ_{1} = 2 θ_{2}$ ,then value of $\sin^{2} θ_{1} + \cos^{2} θ_{2}$ is :