Download 4:7 inverse trig functions notes

PRE CALCULUS
4:7 INVERSE TRIGONOMETRIC FUNCTIONS
FOR ANY FUNCTION TO HAVE AN INVERSE FUNCTION,
INVERSE SINE FUNCTION:
Y=
EVALUATING THE INVERSE SINE FUNCTION: EXAMPLES:
IF POSSIBLE, FIND THE EXACT VALUE.
1.
−1
2
arcsin( )
√3
2
2. 𝑠𝑖𝑛−1 ( )
3.𝑠𝑖𝑛−1 (2)
4. SKETCH A GRAPH OF Y = arcsin(x) by hand
INVERSE COSINE FUNCTION:
INVERSE TANGENT FUNCTION:
EVALUATING INVERSE TRIGONOMETRIC FUNCTIONS:
EXAMPLES:
FIND THE EXACT VALUES
√2
5. arccos 2
6. 𝑐𝑜𝑠 −1 (−1)
7. Arctan(0)
USE A CALCULATOR TO APPROXIMATE THE VALUE (IF POSSIBLE)
9. arctan(-8.45)
10. 𝑠𝑖𝑛−1 0.2447
11. arccos 2
8. 𝑡𝑎𝑛−1 (−1)