How To Solve Inverse Graphs
Inverse trigonometric equations are solved following these steps:
- Isolate the trig function
- Find the reference angle
- Leave a positive and negative sign in front of the square root function
- Find quadrants
- Calculate the solution(s)
Examples
Ex. 1
tanx=tan-1(1.256)
tanx = .9 <— Isolate trig function.
II, IV <— Determine quadrants.
II: π - .9 = 2.24 <— Determine solutions.
IV: 2π - .9 = 5.38
Solutions: {2.24, 5.38}
Ex. 2
Practice Problems
ANSWERS
1) sin(tan-1(1/2))
2) cos(sin-1(1/3))