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Ch. 6 - Inverse Circular Functions and Trigonometric Equations

Chapter 5, Problem 6.19

Use a calculator to approximate each value in decimal degrees.

θ = cos⁻¹ 0.80396577

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Find the value of the given inverse trigonometric function using a calculator. Write your answer in degrees where we have theta equals cosine inverse 0.76463521. And we have four possible degree answers. Now, to solve this, we just need to put this expression into the calculator. Now, we make sure our calculator is in degree mode. If it's in radiant mode, it will give us a wildly different answer. But if we were to throw this number into the calculator with cosine inverse, we end up getting the number 40.12545041 degrees. This corresponds with answer B OK. Hope to help you solve the problem. Thank you for watching. Goodbye.