If sin θ + sin² θ = 1, then find cos² θ + cos⁴θ.
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Using sin^2 theta + cos ^2 theta =1
1-sin^2 theta=cos^2 theta
According to equation 1
Sin theta = cos^2 theta
Put this value in equation no 2
Sin theta + (cos^2 theta)^2=1
Sin theta +sin^2 theta =1
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