What is the value of (20tan(120))/(24cot(150)) ?

The value of (20tan(120))/(24cot(150)) is 5/6

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(20tan(120))/(24cot(150))

\frac{20 tan ( 12 0 ^{\circ} )}{24 cot ( 15 0 ^{\circ} )}

\frac{5}{6}

Solution steps

\frac{20 tan ( 12 0 ^{\circ} )}{24 cot ( 15 0 ^{\circ} )}

Rewrite using trig identities:

tan (12 0^{\circ}) = - 3

Use the following trivial identity:

cot (15 0^{\circ}) = - 3

= \frac{20 ( - 3 )}{24 ( - 3 )}

Simplify

\frac{20 ( - 3 )}{24 ( - 3 )} : \frac{5}{6}

= \frac{5}{6}

sin (\frac{π}{4}) - 4 cos (\frac{π}{3})

tan (- 66 0^{\circ})

30 \cdot csc (4 5^{\circ})

sin (2 \frac{1}{3})

cos (7 0^{\circ}) 10

What is the value of (20tan(120))/(24cot(150)) ?
The value of (20tan(120))/(24cot(150)) is 5/6