{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

tr-t1b

# Suppose that in 20 seconds a central angle of 23

This preview shows pages 2–4. Sign up to view the full content.

radius of 20 meters. Suppose that in 20 seconds a central angle of 2/3 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 cos( θ ) = 2/3, obtain the exact values for the remaining four trigonometric functions. tan( θ ) = cot( θ )= sec( θ ) = csc( θ )= sin( θ )= 8. (5 pts.) If the point (-5, 4) 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 = -195°? θ r =

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
TEST-01b/MAC1114 Page 3 of 4 10. (5 pts.) Suppose cos θ = -(1/5) 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) cot( θ ) sec( θ ) tan( θ ) sin( θ ) cos( θ ) csc( 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 10 sin 10°
TEST-01b/MAC1114 Page 4 of 4 13. (10 pts.) Carefully sketch y = cos(x) through two periods that are symmetric about the origin. Use radian measure and label carefully. y x 14. (10 pts.) Carefully sketch y = csc(x) through two periods that are symmetric about the origin. Use radian measure and label carefully. y x 15. (10 pts.) Carefully sketch y = cot(x) through one period. Use radian measure and label carefully. y x
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page2 / 4

Suppose that in 20 seconds a central angle of 23 radian is...

This preview shows document pages 2 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online