What is the value of (1-cos(315))/(sin(315)) ?

The value of (1-cos(315))/(sin(315)) is -sqrt(2)+1

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(1-cos(315))/(sin(315))

\frac{1 - cos ( 31 5 ^{\circ} )}{sin ( 31 5 ^{\circ} )}

- 2 + 1

Solution steps

\frac{1 - cos ( 31 5 ^{\circ} )}{sin ( 31 5 ^{\circ} )}

Rewrite using trig identities:

cos (31 5^{\circ}) = \frac{2}{2}

Rewrite using trig identities:

sin (31 5^{\circ}) = - \frac{2}{2}

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

Simplify

\frac{1 - \frac{2}{2}}{- \frac{2}{2}} : - 2 + 1

= - 2 + 1

\frac{3}{sin ( 3 0 ^{\circ} )}

7 (cos (12 0^{\circ}) + i sin (12 0^{\circ}))

90 tan (6 3^{\circ})

arcsin (\frac{1}{7})

cos (2 5^{\circ}) cos (5^{\circ}) - sin (2 5^{\circ}) sin (5^{\circ})

What is the value of (1-cos(315))/(sin(315)) ?
The value of (1-cos(315))/(sin(315)) is -sqrt(2)+1