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CalcExercisesCh8

# CalcExercisesCh8 - (Exercises for Section 8.1 Inverse Trig...

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(Exercises for Section 8.1: Inverse Trig Functions) E.8.1 CHAPTER 8: INVERSE TRIG and HYPERBOLIC FUNCTIONS SECTION 8.1: INVERSE TRIG FUNCTIONS 1) Evaluate the following. If an expression is not defined as a real number, write “undefined.” a) sin ± 1 1 2 ² ³ ´ µ · , also known as arcsin 1 2 ± ² ³ ´ µ b) sin ± 1 ± 3 2 ² ³ ´ µ · , also known as arcsin ± 3 2 ² ³ ´ µ · c) sin ± 1 ² 2 ³ ´ µ · ¸ , also known as arcsin ± 2 ² ³ ´ µ · d) cos ± 1 ± 2 2 ² ³ ´ µ · , also known as arccos ± 2 2 ² ³ ´ µ · e) tan ± 1 ± 1 () , also known as arctan ± 1 f) sin ± 1 sin 5 ³ ´ µ · ¸ ¹ º » ¼ ½ ¾ , also known as arcsin sin 5 ² ³ ´ µ · ¸ ¹ º » ¼ ½ g) cos ± 1 cos 7 6 ³ ´ µ · ¸ ¹ º » ¼ ½ ¾ , also known as arccos cos 7 6 ² ³ ´ µ · ¸ ¹ º » ¼ ½ 2) Rewrite the following as algebraic expressions in x . Assume x > 0 . a) tan sin ± 1 x 5 ² ³ ´ µ · ¸ ¹ º » ¼ ½ , also known as tan arcsin x 5 ± ² ³ ´ µ · ¸ ¹

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CalcExercisesCh8 - (Exercises for Section 8.1 Inverse Trig...

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