What is the value of cos^2(pi/6)-2sin(pi/6) ?

The value of cos^2(pi/6)-2sin(pi/6) is -1/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos^2(pi/6)-2sin(pi/6)

cos^{2} (\frac{π}{6}) - 2 sin (\frac{π}{6})

- \frac{1}{4}

Solution steps

cos^{2} (\frac{π}{6}) - 2 sin (\frac{π}{6})

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

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

Simplify

(\frac{3}{2})^{2} - 2 \cdot \frac{1}{2} : - \frac{1}{4}

= - \frac{1}{4}

arctan (\frac{7.7}{14})

arctan (tan (2))

arctan (\frac{57}{68})

\frac{45}{sin ( 5 9 ^{\circ} )}

arcsin (2 π)

What is the value of cos^2(pi/6)-2sin(pi/6) ?
The value of cos^2(pi/6)-2sin(pi/6) is -1/4