What is the value of (31.5)/(tan(75)) ?

The value of (31.5)/(tan(75)) is (63(2-sqrt(3)))/2

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(31.5)/(tan(75))

\frac{31.5}{tan ( 7 5 ^{\circ} )}

\frac{63 ( 2 - 3 )}{2}

Solution steps

\frac{31.5}{tan ( 7 5 ^{\circ} )}

= \frac{\frac{63}{2}}{tan ( 7 5 ^{\circ} )}

Rewrite using trig identities:

tan (7 5^{\circ}) = 2 + 3

= \frac{\frac{63}{2}}{2 + 3}

Simplify

\frac{\frac{63}{2}}{2 + 3} : \frac{63 ( 2 - 3 )}{2}

= \frac{63 ( 2 - 3 )}{2}

sin (1 8^{\circ}) cos (2 7^{\circ}) + cos (1 8^{\circ}) sin (2 7^{\circ})

5 (sin (4) + cos (4) + 4 (cos (4) - sin (4)))

arccos (7350)

cos (\frac{12}{15})

(cos (2))^{2}

What is the value of (31.5)/(tan(75)) ?
The value of (31.5)/(tan(75)) is (63(2-sqrt(3)))/2