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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

\frac{1}{2}

Solution steps

cos^{2} (\frac{π}{6}) - sin^{2} (\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} - (\frac{1}{2})^{2}

Simplify

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

= \frac{1}{2}

\frac{cos ( π )}{6}

sin (2) (\frac{π}{6})

arcsin (45)

3 cos (7 0^{\circ})

- 3 + 2 cosh (ln (5))

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