What is the value of (sin(150)+cot(315))/(sqrt(3)cos(210)) ?

The value of (sin(150)+cot(315))/(sqrt(3)cos(210)) is 1/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(sin(150)+cot(315))/(sqrt(3)cos(210))

\frac{sin ( 15 0 ^{\circ} ) + cot ( 31 5 ^{\circ} )}{3 cos ( 21 0 ^{\circ} )}

\frac{1}{3}

Solution steps

\frac{sin ( 15 0 ^{\circ} ) + cot ( 31 5 ^{\circ} )}{3 cos ( 21 0 ^{\circ} )}

Use the following trivial identity:

sin (15 0^{\circ}) = \frac{1}{2}

Rewrite using trig identities:

cot (31 5^{\circ}) = - 1

Rewrite using trig identities:

cos (21 0^{\circ}) = - \frac{3}{2}

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

Simplify

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

= \frac{1}{3}

0.23 \cdot sin (62. 2^{\circ})

tan (\frac{3 π}{16})

19.6 cos (3 0^{\circ})

tan (arccot (\frac{2 π}{3}))

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

What is the value of (sin(150)+cot(315))/(sqrt(3)cos(210)) ?
The value of (sin(150)+cot(315))/(sqrt(3)cos(210)) is 1/3