en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec^2(pi/6)-4

Solution

sec^{2} (\frac{π}{6}) - 4

Solution

- \frac{8}{3}

+1

Solution steps

sec^{2} (\frac{π}{6}) - 4

Use the following trivial identity:

sec (\frac{π}{6}) = \frac{2 3}{3}

= (\frac{2 3}{3})^{2} - 4

Simplify

(\frac{2 3}{3})^{2} - 4 : - \frac{8}{3}

= - \frac{8}{3}

Popular Examples

sin (2) (\frac{12}{13})

(6tan((4pi)/7))/(tan^2((4pi)/7)-1)

\frac{6 tan ( \frac{4 π}{7} )}{tan ^{2} ( \frac{4 π}{7} ) - 1}

cos((7pi)/(15))

cos (\frac{7 π}{15})

cos((11pi}{12})cos((3pi)/4)+sin((11pi)/(12))sin(\frac{3pi)/4)

cos (\frac{11 π}{12}) cos (\frac{3 π}{4}) + sin (\frac{11 π}{12}) sin (\frac{3 π}{4})

9sin(pi/2)+9cos(pi/2)

9 sin (\frac{π}{2}) + 9 cos (\frac{π}{2})

Frequently Asked Questions (FAQ)

What is the value of sec^2(pi/6)-4 ?
The value of sec^2(pi/6)-4 is -8/3