Is 1+cos(10y)=2cos^2(5y) ?

The answer to whether 1+cos(10y)=2cos^2(5y) is True

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prove 1+cos(10y)=2cos^2(5y)

prove

1 + cos (10 y) = 2 cos^{2} (5 y)

True

Solution steps

1 + cos (10 y) = 2 cos^{2} (5 y)

Manipulating left side

1 + cos (10 y)

Rewrite using trig identities

= 2 cos^{2} (5 y)

We showed that the two sides could take the same form

\Rightarrow True

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