Find the exact value if the trigometric functions if the terminal side of theta is in quadrant 3 on a line with having a slope -5/7

Question

mathstudent55 · Answer

The slope is 5/7, not -5/7
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anonymous · Answer

Oh ..How is this solved . When i have a fraction 5/7 the 7 is x and the 5 is y?

amistre64 · Answer

tangent IS slope

amistre64 · Answer

the rest is filling the third piece of the triangle and working the definitions

mathstudent55 · Answer

Find the length of the hypotenuse by using the Pythagoras theorem.

mathstudent55 · Answer

Slope is the divverence in y over the difference in x, so if you have a slope of 5/7, think of it as moving positive 5 in y and positive 7 in x.
Since 5/7 = (-5)/(-7), this slope is also the same as moving -5 (down) in y and -7 (left) in x.