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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Use the negative angle identity:

cos (- x) = cos (x)

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

Manipulating right side

cos^{2} (x)

Rewrite using trig identities

cos^{2} (x)

Use the Double Angle identity:

cos^{2} (x) - sin^{2} (x) = cos (2 x)

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

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

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

We showed that the two sides could take the same form

\Rightarrow True

sin (\frac{π}{2} + a) = cos (a)

2 sin^{2} (x) - cos (x) - 2 = 0

csc (t) - sin (t) = cot (t) \cdot cos (t)

\frac{tan ( θ ) + 6}{sec ( θ )} = 6 cos (θ) + sin (θ)

sin (x) + 5 = 4

Is sin^2(x)+cos(-2x)=cos^2(x) ?
The answer to whether sin^2(x)+cos(-2x)=cos^2(x) is True