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

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

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

prove

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

True

Solution steps

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

Use the Double Angle identity:

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

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

\Rightarrow True

sin (θ + \frac{3 π}{2}) = - cos (θ)

sec (3 0^{\circ}) - sin (3 0^{\circ}) tan (3 0^{\circ}) = cos (3 0^{\circ})

tan (x) \cdot csc^{2} (x) - tan (x) = cot (x)

sec (x) \cdot \frac{tan ( x )}{sin ( x )} = sec^{2} (x)

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

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