What is the value of (1-cos(135))/(sin(135)) ?

The value of (1-cos(135))/(sin(135)) is sqrt(2)+1

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(1-cos(135))/(sin(135))

\frac{1 - cos ( 13 5 ^{\circ} )}{sin ( 13 5 ^{\circ} )}

2 + 1

Solution steps

\frac{1 - cos ( 13 5 ^{\circ} )}{sin ( 13 5 ^{\circ} )}

Use the following trivial identity:

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

Use the following trivial identity:

sin (13 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

100 \cdot sin (6 0^{\circ})

69 sin (4 0^{\circ})

11 \cdot cos (3 0^{\circ})

7 cos (3 9^{\circ})

12 cos (22 5^{\circ})

What is the value of (1-cos(135))/(sin(135)) ?
The value of (1-cos(135))/(sin(135)) is sqrt(2)+1