What is the value of (csc((5pi)/6))/(tan((7pi)/4)) ?

The value of (csc((5pi)/6))/(tan((7pi)/4)) is -2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(csc((5pi)/6))/(tan((7pi)/4))

\frac{csc ( \frac{5 π}{6} )}{tan ( \frac{7 π}{4} )}

- 2

Solution steps

\frac{csc ( \frac{5 π}{6} )}{tan ( \frac{7 π}{4} )}

Rewrite using trig identities:

csc (\frac{5 π}{6}) = 2

Rewrite using trig identities:

tan (\frac{7 π}{4}) = - 1

= \frac{2}{- 1}

Simplify

= - 2

sin (\frac{2 π}{3} + \frac{π}{4})

cos^{2} (2 5^{\circ}) - sin^{2} (2 5^{\circ})

tan (6 2^{\circ}) (15)

\frac{2 ( cos ( 3 0 ^{\circ} ) + i sin ( 3 0 ^{\circ} ) )}{3 ( cos ( 6 0 ^{\circ} ) + i sin ( 6 0 ^{\circ} ) )}

arccot (tan (6))

What is the value of (csc((5pi)/6))/(tan((7pi)/4)) ?
The value of (csc((5pi)/6))/(tan((7pi)/4)) is -2