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1. Evaluate the following. Please sketch the angle, and state which quadrant it lands in. You can use your unit circle to answer these. COS tan 77 15m sin wo|$ 4T CSC 5T sec(-3T) cot 5T 6

1. Evaluate the following. Please sketch the angle, and state which quadrant it lands in. You can use your unit circle to answer these. COS tan 77 15m sin wo|$ 4T CSC 5T sec(-3T) cot 5T 6

Advanced Engineering Mathematics
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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**Exercise 1: Trigonometric Evaluation** Evaluate the following trigonometric functions. Please sketch the angle on the unit circle and state which quadrant it lands in. You may use your unit circle to answer these questions. 1. Evaluate: - \(\cos\left(-\frac{\pi}{6}\right)\) - \(\sin\left(\frac{4\pi}{3}\right)\) - \(\sec(-3\pi)\) 2. Evaluate: - \(\tan\left(\frac{15\pi}{4}\right)\) - \(\csc\left(\frac{5\pi}{3}\right)\) - \(\cot\left(\frac{5\pi}{6}\right)\) **Note:** For each function, identify the angle's position on the unit circle, determine the reference angle, and specify the quadrant it resides in. Consider the periodic nature of trigonometric functions and use appropriate simplifications where necessary.
Transcribed Image Text:**Exercise 1: Trigonometric Evaluation** Evaluate the following trigonometric functions. Please sketch the angle on the unit circle and state which quadrant it lands in. You may use your unit circle to answer these questions. 1. Evaluate: - \(\cos\left(-\frac{\pi}{6}\right)\) - \(\sin\left(\frac{4\pi}{3}\right)\) - \(\sec(-3\pi)\) 2. Evaluate: - \(\tan\left(\frac{15\pi}{4}\right)\) - \(\csc\left(\frac{5\pi}{3}\right)\) - \(\cot\left(\frac{5\pi}{6}\right)\) **Note:** For each function, identify the angle's position on the unit circle, determine the reference angle, and specify the quadrant it resides in. Consider the periodic nature of trigonometric functions and use appropriate simplifications where necessary.
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