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

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

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(sin(45))/(1-cos(45))

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

2 + 1

Solution steps

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

Use the following trivial identity:

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

Use the following trivial identity:

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

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

Simplify

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

= 2 + 1

arcsin (\frac{9}{17})

cos (\frac{11 π}{12}) cos (\frac{7 π}{12}) + sin (\frac{11 π}{12}) sin (\frac{7 π}{12})

sec (57 0^{\circ})

90 sin (3 0^{\circ})

sec^{2} (0) - 1

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