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Compositions of Inverse Trig Functions

Compositions of Inverse Trig Functions. 2x+2. 3. 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)). θ.

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Compositions of Inverse Trig Functions

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  1. Compositions of Inverse Trig Functions 2x+2 3 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)) . 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

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