Given t is a real number and (3/5, 4/5) is the point on the unit circle that corresponds to t, how do you find exact value of remaining trigonometric functions?

1 Answer
Apr 26, 2015

Use the unit circle definitions. They are exactly the set-up you have here:
Given #t# is a real number and #(x, y)# is the point on the unit circle that corresponds to #t#,

#sint=y#, so for this question, #sint = 4/5#

The definition continues:

#cost=x#, so for this question, #cost = 3/5#

#tant = y/x# so for this question, #tant = (4/5)/(3/5) = 4/5 * 5/3 = 4/3#

And so on.

(Yes, it really is just that. Don't make it more difficult.)