What is the value of (cos(pi/6)}{cos(\frac{7pi)/4)} ?

The value of (cos(pi/6)}{cos(\frac{7pi)/4)} is sqrt(3/2)

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(cos(pi/6)}{cos(\frac{7pi)/4)}

\frac{cos ( \frac{π}{6} )}{cos ( \frac{7 π}{4} )}

\frac{3}{2}

Solution steps

\frac{cos ( \frac{π}{6} )}{cos ( \frac{7 π}{4} )}

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

Rewrite using trig identities:

cos (\frac{7 π}{4}) = \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 cos (- 12 0^{\circ})

sin (36. 5^{\circ})

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

arctan (\frac{16}{8})

sin (7 0^{\circ}) 10

What is the value of (cos(pi/6)}{cos(\frac{7pi)/4)} ?
The value of (cos(pi/6)}{cos(\frac{7pi)/4)} is sqrt(3/2)