tr-t1a

# Suppose that in 20 seconds a central angle of 13

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radius of 10 meters. Suppose that in 20 seconds a central angle of 1/3 radian is swept out. What is the angular speed ω of the object, and what is the linear speed ν of the object? Here give the exact value of the item followed by its decimal approximation. ω = ν = 7. (5 pts.) If θ is an acute angle, and sin( θ ) = 1/3, obtain the exact values for the remaining five trigonometric functions. tan( θ ) = cot( θ )= sec( θ ) = csc( θ )= cos( θ )= 8. (5 pts.) If the point (4 ,-5) is on the terminal side of an angle θ , obtain the exact value of each of the six trigonometric functions of θ . sin( θ ) = cos( θ )= tan( θ ) = cot( θ )= sec( θ ) = csc( θ )= 9. (5 pts.) What is the reference angle θ r for an angle θ = -215°? θ r =

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TEST-01a/MAC1114 Page 3 of 4 10. (5 pts.) Suppose cos θ = -(3/5) and tan θ > 0. What is the exact value of each of the remaining trigonometric functions? sec( θ ) = tan( θ )= sin( θ ) = csc( θ )= cot( θ )= 11. (18 pts.) Fill in the following table with the information requested concerning domain, range, and period. Function Name Domain (in radians) Range Period (in radians) cos( θ ) csc( θ ) cot( θ ) sec( θ ) tan( θ ) sin( θ ) 12. (2 pts.) Use a calculator to obtain the approximate value of each of the following expressions. Round your answer to two decimal places. sin 20 sin 20°
TEST-01a/MAC1114 Page 4 of 4 13. (10 pts.) Carefully sketch y = sin(x) through two periods that are symmetric about the origin. Use radian measure and label carefully. y x 14. (10 pts.) Carefully sketch y = sec(x) through two periods that are symmetric about the origin. Use radian measure and label carefully. y x 15. (10 pts.) Carefully sketch y = tan(x) through one period. Use radian measure and label carefully. y x
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Suppose that in 20 seconds a central angle of 13 radian is...

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