00:01
In this, the type of an angle theta is given to us.
00:05
So let's call that point as p, which is given to us as 5.
00:10
Minus 5.
00:11
And we are supposed to find the 6 trigonometric functions for this angle theta.
00:16
So let's plot the point on the coordinate axis plane.
00:19
So this is x -axis and y -axis.
00:22
The point p is in quadrant 4.
00:25
So if we join o with p, this is the angle theta.
00:30
And the op distances are.
00:33
Now from the given coordinates we can see that the value of x is 5 and the value of y is minus 5.
00:40
So the value of r is given by under root of x square plus y square.
00:47
So if we substitute the values of x and y we get plus minus of 5 square which implies r is equals to under root of 50 and this gives us the r value as equal to the r value as equal to to 5 root 2.
01:03
Now we can write the trigonometric function.
01:05
So the first trigonmetry function is sine theta, which is equal to y upon r.
01:11
The value of y is minus 5 and the value of r is 5 root 2.
01:18
So if we rationalize this, we get sine theta as equal to minus root 2 by 2...