What is the value of (cos(135))/(tan(225)) ?

The value of (cos(135))/(tan(225)) is -(sqrt(2))/2

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(cos(135))/(tan(225))

\frac{cos ( 13 5 ^{\circ} )}{tan ( 22 5 ^{\circ} )}

- \frac{2}{2}

Solution steps

\frac{cos ( 13 5 ^{\circ} )}{tan ( 22 5 ^{\circ} )}

Use the following trivial identity:

cos (13 5^{\circ}) = - \frac{2}{2}

Rewrite using trig identities:

tan (22 5^{\circ}) = 1

= \frac{- \frac{2}{2}}{1}

Simplify

= - \frac{2}{2}

50 (3 + 3 cos (5 3^{\circ}))

\frac{cos ( π )}{12}

cos (5.8)

arctan (\frac{- 16}{0})

arctan (1.3333)

What is the value of (cos(135))/(tan(225)) ?
The value of (cos(135))/(tan(225)) is -(sqrt(2))/2