Is 2sin^2(x)+cos(2x)=1 ?

The answer to whether 2sin^2(x)+cos(2x)=1 is True

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prove 2sin^2(x)+cos(2x)=1

prove

2 sin^{2} (x) + cos (2 x) = 1

True

Solution steps

2 sin^{2} (x) + cos (2 x) = 1

Manipulating left side

2 sin^{2} (x) + cos (2 x)

Rewrite using trig identities

= 1

We showed that the two sides could take the same form

\Rightarrow True

\frac{1 + sec ( x )}{sin ( x ) + tan ( x )} = csc (x)

\frac{tan ^{2} ( x )}{1 + tan ^{2} ( x )} = sin^{2} (x)

\frac{sin ( x )}{cos ( x )} = tan (x)

tan (\frac{π}{2} - x) sec (x) = csc (x)

\frac{1}{cos ( x )} - cos (x) = sin (x) tan (x)