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riadik2000 [5.3K]
4 years ago
7

Simplify the expression by using a double-angle formula. 2 cos^2 4 theta -1

Mathematics
1 answer:
avanturin [10]4 years ago
3 0
You are given 2cos² (4θ - 1). You are asked to s<span>implify the expression by using a double-angle formula. 

Apply the double angle of the cosine function
</span>cos2θ = 2cos² θ - 1

Rearranging the expression and then substituting them
2cos² θ = cos2θ + 1
2cos² (4θ - 1) = cos 2(4θ - 1) + 1
cos2(4θ - 1) + 1

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