Solve 120 / (tan(30 degrees) tan(24 degrees))

Evaluate

\frac{120}{tan ( 30 g re \times es ) tan ( 24 g re \times es )}

Multiply

More Steps

\frac{120}{tan ( 30 e ^{2} g rs ) tan ( 24 g re \times es )}

Multiply

More Steps

\frac{120}{tan ( 30 e ^{2} g rs ) tan ( 24 e ^{2} g rs )}

Transform the expression

More Steps

\frac{120}{\frac{s i n ( 30 e ^{2} g rs ) s i n ( 24 e ^{2} g rs )}{c o s ( 30 e ^{2} g rs ) c o s ( 24 e ^{2} g rs )}}

Multiply by the reciprocal

120 \times \frac{cos ( 30 e ^{2} g rs ) cos ( 24 e ^{2} g rs )}{sin ( 30 e ^{2} g rs ) sin ( 24 e ^{2} g rs )}

Multiply the terms

\frac{120 cos ( 30 e ^{2} g rs ) cos ( 24 e ^{2} g rs )}{sin ( 30 e ^{2} g rs ) sin ( 24 e ^{2} g rs )}

Use \frac{cos ( t )}{sin ( t )} = cot (t) to transform the expression

\frac{cos ( 24 e ^{2} g rs ) \times 120 cot ( 30 e ^{2} g rs )}{sin ( 24 e ^{2} g rs )}

Solution

120 cot (30 e^{2} g rs) cot (24 e^{2} g rs)

Simplify the expression