Find the slope of the line passing through the origin at an angle 5π/8. What angle is this in degrees?

Question

Do I just literally type #tan(5\pi )/(8)# into my calculator and get the answer as 0.034 degrees?

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Answer 1 · 2018-02-16T21:11:05

See below.

The slope of a line is given as a tangent ratio. In this case you have the angle, so the slope would be given as #tan((5pi)/8)#.

The angle the line makes with the horizontal is given in radians here:

#(5pi)/8#

If you want this in degrees you can use:

#180^@=picolor(white)(8) "radians"#

#1color(white)(88) "radian" = 180^@/pi#

#(5pi)/8 "radians" =(5pi)/8*180^@/pi=(5cancelpi)/8*180^@/cancelpi=112.5^@#