Suppose the point with coordinates (-12, 5) is on the terminal side of angle `theta`. Find the values of the six trigonometric functions of `theta`.

Explanation

We can draw the point `(-12,5)` at the XY-axis.

Please refer to see the graph.

It will become a right angle triangle with base = 12 and perpendicular = 5.

`:.` Hypotenuse `= 12^2+5^2 = 13`

As it is in second quadrant, only `sin theta` and `cosec theta` will be positive.

`:.sin theta = 5/13`

`cos theta = -12/13`

`tan theta = -5/12`

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