Explanation Given information: sin ( sin − 1 1 5 + cos − 1 1 4 ) Formula used: sin ( α + β ) = sin α cos β + cos α sin β 2 cos A sin B = sin ( A + B ) − sin ( A − B ) sin − 1 x + cos − 1 x = π 2 Calculation: Apply the above formula, we get ⇒ sin ( sin − 1 1 5 ) cos ( cos − 1 1 4 ) + cos ( sin − 1 1 5 ) sin ( cos − 1 1 4 ) ⇒ 1 5 × 1 4 + 1 2 ( 2 cos ( cos − 1 1 5 ) sin ( cos − 1 1 4 ) ) ⇒ 1 20 + 1 2 ( sin ( cos − 1 1 5 + sin − 1 1 5 ) − sin ( cos − 1 1 5 − sin − 1 1 5 ) ) ⇒ 1 20 + 1 2 (

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 1.5, Problem 33PS

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To calculate: Thevalue of sin(sin−115+cos−114) .

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Chapter 1.5, Problem 32PS

Chapter 1.5, Problem 34PS

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Chapter 1 Solutions

Student's Solution and Survival Manual for Calculus

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Thevalue of sin ( sin − 1 1 5 + cos − 1 1 4 ) .

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To calculate: Thevalue of sin(sin−115+cos−114) .

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Chapter 1 Solutions