Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (6,-5) lies on its terminal side.

Given : The point with coordinates (6,-5) lies on its terminal side.

To find :  The values of the six trigonometric functions of an angle in standard position

Solution :

The coordinates (6,-5) lies in the 4 quadrant.

Refer the attached figure.

where x=6 is the base

y= -5 is the perpendicular

Applying Pythagoras theorem,

Now, finding trigonometric function

Note - In fourth quadrant only cos and sec is positive rest are negative.

1 )  

2)

3)

4)

5)

6)

x+14

step-by-step explanation: