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  1. 12 Δεκ 2022 · Since the functions \(y=\cos x\) and \(y=\cos^{-1}x\) are inverse functions, why is \(\cos^{-1}\left (\cos \left (-\dfrac{\pi }{6} \right ) \right )\) not equal to \(-\dfrac{\pi }{6}\)? Explain the meaning of \(\dfrac{\pi }{6}=\arcsin (0.5)\).

  2. Practice each skill in the Homework Problems listed. Decide whether a function has an inverse function #1–8; Evaluate the inverse trig functions #9–20; Model problems with inverse trig functions #21–24; Solve formulas #25–30; Simplify expressions involving the inverse trig functions #31–42, 51–68

  3. A list of problems on inverse trigonometric functions. Problem 1. Determine the measure of \displaystyle \angle I ∠I. \displaystyle m\angle I= 60^ {\circ } m∠I = 60∘. \displaystyle m\angle I= 53.13^ {\circ } m∠I = 53.13∘. \displaystyle m\angle I=82^ {\circ } m∠I = 82∘. \displaystyle m\angle I= 90^ {\circ }-53.13^ {\circ } m∠I = 90∘ −53.13∘.

  4. SOLUTIONS: Week 4 Practice Worksheet. Inverse Trig Functions and Solving Trig Equations. Find the exact value of each of the following expressions; do not use a calculator. Be sure to use proper notation to directly communicate what the given expressions equal. sin−. cos−. sin−. cos. tan.

  5. Worksheet #4 – Extensions & Applications of Trig Inverses 1. Joe is working an inverse trig problem and does the following… tan 1 3 11 36 S thsince the angle 11 6 S is in the 4 quadrant, where arctan x is defined. Has Joe done anything wrong? If so, what? (Explain carefully.) 2. Joe is working another inverse trig problem… sin sin1 44 33 ...

  6. MATH 11022 Trigonometry KSU Worksheet|Inverse Trigonometric Functions Find each of the following without using a calculator. HINT: Use the unit circle. Part A. Special values 1. sin 11 (0) 2. sin 1 (1) 3. sin 1 ( 1) 4. sin 1 1 2 5. sin 11 1 2 6. sin 1 1 p 2 7. sin 1 1 p 2 8. sin 1 p 3 2! 9. sin 1 p 3 2! 10. cos 1 (0) 11. cos 1 (1) 12. cos 1 ( 1 ...

  7. Trig Word Problems #2. Now that you understand inverse trig functions, this opens up a whole new set of problems you can solve. In the previous set of problems, you were given one side length and one angle. From this you could determine other information about the triangle.

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