What is the value of (1+cos((7pi)/6))/(sin((7pi)/6)) ?

The value of (1+cos((7pi)/6))/(sin((7pi)/6)) is -2+sqrt(3)

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(1+cos((7pi)/6))/(sin((7pi)/6))

\frac{1 + cos ( \frac{7 π}{6} )}{sin ( \frac{7 π}{6} )}

- 2 + 3

Solution steps

\frac{1 + cos ( \frac{7 π}{6} )}{sin ( \frac{7 π}{6} )}

Rewrite using trig identities:

cos (\frac{7 π}{6}) = - \frac{3}{2}

Rewrite using trig identities:

sin (\frac{7 π}{6}) = - \frac{1}{2}

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

Simplify

\frac{1 - \frac{3}{2}}{- \frac{1}{2}} : - 2 + 3

= - 2 + 3

- \frac{cos ( π )}{2}

sin (0.93)

\frac{cot ^{2} ( 4 0 ^{\circ} )}{cot ^{2} ( 2 5 ^{\circ} )}

csc (12 9^{\circ})

\frac{1}{sin ( 1 0 ^{\circ} )}

What is the value of (1+cos((7pi)/6))/(sin((7pi)/6)) ?
The value of (1+cos((7pi)/6))/(sin((7pi)/6)) is -2+sqrt(3)