What is the value of (sin(60)cos(30))/(tan(45)) ?

The value of (sin(60)cos(30))/(tan(45)) is 3/4

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(sin(60)cos(30))/(tan(45))

\frac{sin ( 6 0 ^{\circ} ) cos ( 3 0 ^{\circ} )}{tan ( 4 5 ^{\circ} )}

\frac{3}{4}

Solution steps

\frac{sin ( 6 0 ^{\circ} ) cos ( 3 0 ^{\circ} )}{tan ( 4 5 ^{\circ} )}

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

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

Use the following trivial identity:

tan (4 5^{\circ}) = 1

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

Simplify

\frac{\frac{3}{2} \cdot \frac{3}{2}}{1} : \frac{3}{4}

= \frac{3}{4}

\frac{1}{e ^{0.01} ( sin ( 0.01 ) + cos ( 0.01 ) )}

\frac{37. 2 ^{2} sin ( 2 \cdot 14.1 )}{9.8}

\frac{π}{2} - arctan (2)

arccos (\frac{2}{85})

cos (33 0^{\circ}) \cdot sin (- 21 0^{\circ}) - tan (- 31 5^{\circ}) \cdot cot (- 33 0^{\circ})

What is the value of (sin(60)cos(30))/(tan(45)) ?
The value of (sin(60)cos(30))/(tan(45)) is 3/4