Prove that cos^2
θ – sin^2theta
θ = 1 – 2 sin^2theta
θ = 2 cos^2theta
θ – 1
please answer I will mark brainliest
Answers
Answered by
1
Answer:
The Pythagorean identity states that
sin^2θ+cos^2θ=1 .
We can rearrange the identity to see that
cos^2θ=1−sin2^θ .
If we know that
cos^2θ=1−sin^2θ , we can replace
cos^2θwith 1−sin2^θ in the expression
cos^2θ−sin^2θ .
cos^2θ−sin^2θ=(1−sin^2θ)−sin^2θ
Combine like terms to see that:
cos^2θ−sin^2θ=1−2sin^2θ.............(1)proved
I would use:
sin^2(θ)+cos^2(θ)=1
and so:
sin^2(θ)=1−cos^2(θ)
in your expression:
cos^2(θ)−1+cos^2(θ)=2cos^2(θ)−1
and:
2cos^2(θ)−1=2cos^2(θ)−1.......(2)prove
Answered by
5
Answer:
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fr_i_e_n_d
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