How do you find the exact values of six trigonometric functions of t given (sqrt 3/2, 1/2)?

1 Answer
Alan P.
Jun 25, 2015

sin(t) = 1/2;color(white)("XXXX")cos(t)=sqrt(3)/2;color(white)("XXXX")tan(t)=1/sqrt(3)
csc(t)=2;color(white)("XXXX")sec(t)=2/sqrt(3);color(white)("XXXX")cot(t)=sqrt(3)

Explanation:

Assuming the point given is the terminal point of an angle, t, in standard Cartesian coordinate position,
the angle is 30^o and the six trigonometric values can be read directly from the image below, base on the definition of those functions.
enter image source here

Related questions
See all questions in Trigonometric Functions of Any Angle
Impact of this question
10766 views around the world
You can reuse this answer
Creative Commons License