00:01
In this question, a point p on the terminal side of an angle theta is given to us us, that is p minus 12 .5.
00:11
And we are supposed to find the six trigonometric functions for this angle theta.
00:17
So let's plot this point p on the coordinate axis.
00:21
So this is x -axis and this is y -axis.
00:24
So the point p is somewhere over here which is minus 12 .5.
00:28
And if we join this point p with the origin then this is the angle theta and this distance op is equal to r now the value of x from the given point we can see that is equal to minus 12 and the value of y is equal to 5 so from here we can calculate the value of r the value of r is given by under root of x square plus y square so if we substitute the values we get under root of minus 12 square plus 5 square.
01:04
So this is equal to under root of 169, which implies the value of r is equal to 13.
01:11
Now, we can write the trigonometric functions.
01:14
So the first trigonometric function is sine theta.
01:17
So sine theta is equal to y upon r.
01:21
And the value of y is 5 and the value of r is 13.
01:26
So we get the first trigonometric function as 5 upon.
01:30
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