1.

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

Answer» 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`
`cot theta = -12/5`
`cosec theta = 13/5`
`sec theta = -13/12`


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