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Trigonometry and Analytic Geometry Quiz MAT134 Fall 2024 PDF

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Summary

This is a quiz on trigonometry and analytic geometry, covering sections 7.1-7.5. The quiz includes questions on trigonometric functions, values and solutions, and is due in Fall 2024.

Full Transcript

Trigonometry and Analytic Geometry: MAT134 Quiz Sections 7.1-7.5: Fall 2024 All work must be clearly shown to receive full credit!! 4 1. Given sin 𝑥 = , cot 𝑥 < 0, find the values of all six trig functions. Rationalize the denominators if...

Trigonometry and Analytic Geometry: MAT134 Quiz Sections 7.1-7.5: Fall 2024 All work must be clearly shown to receive full credit!! 4 1. Given sin 𝑥 = , cot 𝑥 < 0, find the values of all six trig functions. Rationalize the denominators if 7 appropriate. 𝑢 3 𝜋 2. Find the exact value for tan ( 2 ), given sin 𝑢 = and 0 < 𝑢 <. 5 2 3. Find the exact value for cosine of 195°. Solve problems 4 - 7. 4. Give ALL possible solutions. ) 5. Find solutions in the interval éë0,2p. 2 − 4𝑠𝑖𝑛2 𝑥 = 0 2𝑠𝑒𝑐 2 𝑥 + 𝑡𝑎𝑛 2 𝑥 − 3 = 0 6. Give ALL possible solutions. 2𝑐𝑜𝑠 2 𝜃 + 7 sin 𝜃 = 5 7. Find all solutions for sin(2𝜃) − cos 𝜃 = 0

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