1. Draw a right triangle. Label the longer leg "1", the shorter leg "x", and the angle between the longer leg and the hypotenuse. Assume 0 is measured in radians. a.) Find tan(0). b.) Find tan-¹(x). c.) Find the hypotenuse of the triangle as a function of x. d.) Find sin(tan'(x)) as a ratio involving no trig functions. e.) Find sec(tan-¹(x)) as a ratio involving no trig functions. f.) If x<0, then tan(x) is a negative angle in quadrant g.) Explain why your answers to parts d.) and e.) are still valid for x<0.

1. Draw a right triangle. Label the longer leg "1", the shorter leg "x", and the angle between the longer leg and the hypotenuse. Assume 0 is measured in radians. a.) Find tan(0). b.) Find tan-¹(x). c.) Find the hypotenuse of the triangle as a function of x. d.) Find sin(tan'(x)) as a ratio involving no trig functions. e.) Find sec(tan-¹(x)) as a ratio involving no trig functions. f.) If x<0, then tan(x) is a negative angle in quadrant g.) Explain why your answers to parts d.) and e.) are still valid for x<0.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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