What is the value of cos^2(30)-sin^2(30) ?

The value of cos^2(30)-sin^2(30) is 1/2

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cos^2(30)-sin^2(30)

cos^{2} (3 0^{\circ}) - sin^{2} (3 0^{\circ})

\frac{1}{2}

Solution steps

cos^{2} (3 0^{\circ}) - sin^{2} (3 0^{\circ})

Use the following trivial identity:

cos (3 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

= (\frac{3}{2})^{2} - (\frac{1}{2})^{2}

Simplify

(\frac{3}{2})^{2} - (\frac{1}{2})^{2} : \frac{1}{2}

= \frac{1}{2}

arctan (e)

cos (\frac{- π}{12})

arcsin (sin (\frac{4 π}{5}))

sin (10 π)

sin (0) cos (0)

What is the value of cos^2(30)-sin^2(30) ?
The value of cos^2(30)-sin^2(30) is 1/2