What is the value of (1+cos(45))/(sin(45)) ?

The value of (1+cos(45))/(sin(45)) is sqrt(2)+1

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(1+cos(45))/(sin(45))

\frac{1 + cos ( 4 5 ^{\circ} )}{sin ( 4 5 ^{\circ} )}

2 + 1

Solution steps

\frac{1 + cos ( 4 5 ^{\circ} )}{sin ( 4 5 ^{\circ} )}

Use the following trivial identity:

cos (4 5^{\circ}) = \frac{2}{2}

Use the following trivial identity:

sin (4 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

arcsin (\frac{8}{12})

sin (60. 4^{\circ})

arccos (\frac{2}{2})

arctan (\frac{- 12}{5})

arccos (cos (\frac{7 π}{8}))

What is the value of (1+cos(45))/(sin(45)) ?
The value of (1+cos(45))/(sin(45)) is sqrt(2)+1