What is the value of 1-cos(60)-2sin^2(30) ?

The value of 1-cos(60)-2sin^2(30) is 0

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1-cos(60)-2sin^2(30)

1 - cos (6 0^{\circ}) - 2 sin^{2} (3 0^{\circ})

0

Solution steps

1 - cos (6 0^{\circ}) - 2 sin^{2} (3 0^{\circ})

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

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

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

Simplify

1 - \frac{1}{2} - 2 (\frac{1}{2})^{2} : 0

= 0

600 \cdot sin (6 0^{\circ})

(sin (\frac{π}{8}) + cos (\frac{π}{8}))^{2}

\frac{cot ^{2} ( \frac{1 ^{\circ}}{2} )}{cot ^{2} ( \frac{5 ^{\circ}}{2} )}

- 10 sin (0)

cos (- \frac{1}{2} π)

What is the value of 1-cos(60)-2sin^2(30) ?
The value of 1-cos(60)-2sin^2(30) is 0