Express sin 2theta + cos 2theta as product of sin and cos
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Prove :
sin2(θ)+cos4(θ)=cos2(θ)+sin4(θ)
we only know how to solve using factoring and the basic trig identities, I
we do not know reduction or anything of the sort, please prove using the basic trigonometric identities and factoring.
After some help I found that you move the identity around, so:
sin2(θ)−cos2(θ)=sin4(θ)−cos4(θ)
Then,
sin2(θ)−cos2(θ)=(sin2(θ)+cos2(θ))(sin2(θ)−cos2(θ))
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