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

The value of (sin(60))/(cos(45)) is sqrt(3/2)

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(sin(60))/(cos(45))

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

\frac{3}{2}

Solution steps

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

Use the following trivial identity:

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

Use the following trivial identity:

cos (4 5^{\circ}) = \frac{2}{2}

= \frac{\frac{3}{2}}{\frac{2}{2}}

Simplify

\frac{\frac{3}{2}}{\frac{2}{2}} : \frac{3}{2}

= \frac{3}{2}

- 2 sec (\frac{π}{4})

cot (29 0^{\circ})

tan (2 + \frac{π}{4})

sec^{2} (\frac{3 π}{2})

\frac{10}{cos ( 6 8 ^{\circ} )}

What is the value of (sin(60))/(cos(45)) ?
The value of (sin(60))/(cos(45)) is sqrt(3/2)