1. Compositions of Inverse Trig Functions
TS:Explicitly assessing information and drawing conclusions.
Warm-Up:
Use an inverse trigonometric
function to write a function for θ in terms of x.
Find the exact value of arctan(tan(-3.25)) .
2x+2 3 θ

2. Find the exact value of each trigonometric expression
arcsin(sin(-0.74))
tan-1(tan(3π))
cos(arccos(-½))
arctan(√3)
cos(arccos(-2.4))

3. Find the exact value of each trigonometric expression
sec(arcsin(3/5))

4. Find the exact value of each trigonometric expression
2) tan(arcsin(-3/4))

5. Find the exact value of each trigonometric expression
3) cot(arctan(5/8))

6. Solve for x. sin-1(sin(x))=π/5 2) sin-1(sin(x))=10π/5
3) cos-1(cos(x))=2

7. Solve for x.
1) 2cosx =-√3
2) tan(tan-1(x)) = 1/7

8. Find an algebraic expression that is equivalent to the expression
sin(arctan x) 2) 3)

9. Closing Problems
Refer to the diagram below and write an expression for θ in terms of x
2) Find sin(arcsin(.5))
3) Find csc(arctan(-12/5))
4) Write an algebraic
expression that is equivalent
to the expression
sec(arcsin(x-1)) θ
10 – x 3