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Comprehensive Guide on Converting Angles and Evaluating Circular Functions

This chapter delves into the conversion of angles from degrees to radians and vice versa, covering specific examples like 220° and 345°. It includes evaluations of exact values for trigonometric functions, exploring concepts such as the area of a sector for a given central angle and radius. Furthermore, it addresses the evaluation of cosecant values and determines linear velocities based on given parameters, including wheel diameter and angular velocities for pulleys. All calculations are designed to enhance understanding of circular motion and trigonometry.

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Comprehensive Guide on Converting Angles and Evaluating Circular Functions

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  1. Chapter 3 – Trig CP

  2. Convert 220⁰ to radians in terms of • None of these

  3. Convert 345⁰ to radians in terms of • None of these

  4. Convert to degrees. • 135⁰ • 220⁰ • 300⁰ • 140⁰

  5. Convert to degrees • 220⁰ • 255⁰ • 310⁰ • None of these

  6. Evaluate . Give exact values.

  7. Evaluate . Give exact value. • 0 • undefined

  8. Find the length s in the figure below. • 11 • 19 • 26 • 35

  9. Find the area of a sector of a circle intercepted by a central angle of 245⁰ in a circle of radius 9.8 in. • 178.6 square inches • 205.3 square inches • 213.4 square inches • 332.4 square inches

  10. Use a calculator to find csc 2.7839. • -1.0676 • -0.3738 • 0.3501 • 2.8562

  11. Find the linear velocity of a point on the edge of a wheel rotation 35 times per minute. The diameter of the wheel is 38 cm. • 22cm/sec • 29cm/sec • 31cm/sec • 70cm/sec

  12. Two pulleys of radius 6cm and 10cm, respectively, are connected by a belt. The larger pulley rotates at 40 times per minute. Find the angular velocity of each pulley in radians per minute. • 219, 219 • 397, 238 • 419, 251 • 438, 219

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