SOLUTION: when finding the exact value of tan165 and you have split the number into 120+45, would you use the 30 degree or 60 degree for 120. like,sin 60 equals {{{Root3/2}}} or sin30 equals

Algebra ->  Trigonometry-basics -> SOLUTION: when finding the exact value of tan165 and you have split the number into 120+45, would you use the 30 degree or 60 degree for 120. like,sin 60 equals {{{Root3/2}}} or sin30 equals      Log On


   



Question 261494: when finding the exact value of tan165 and you have split the number into 120+45, would you use the 30 degree or 60 degree for 120. like,sin 60 equals Root3%2F2 or sin30 equals1%2F2
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
For any angle not between 0 and 90, you use what's called a reference angle. The reference angle is always the angle between the terminal side of the angle and the x-axis.

So in your case, using the angle between the terminal side of 120 and the x-axis, the reference angle is 60. Here's an illustration: