POD: Inverse Trig
Evaluating Inverse Trig Functions
Chapter 4.9
Honors Pre-Calculus
Find the following using the unit circle:
1. arccos -½
2. arctan 1
3. arcsin -½
4. arccos 0
5. arctan -[pic]
6. tan-1 (-1)
7. cos-1 [pic]
8. sin-1 [pic]
9. arctan[pic]
10. cos(arccos ½)
11. sin[cos-1 (-½)]
12. tan[sin-1 (1)]
13. sin[tan-1[pic]]
14. cos(sin-1 -1)
15. tan(cos-1 0)
Find the following by drawing a right triangle:
16. sin(arctan 4/5)
17. sec(arcsin 7/5)
18. cos(arcsin -48/50)
19. csc[arctan(-24/10)]
20. sec[arctan(-3/4)]
21. sin[arccos(-2/7)]
22. cot(arctan 16/13)
23. sin[arcsin(-6/10)]
24. tan(arctan 7)
25. cos(tan-1 2)
Answer the following:
26. An anchored barge bobs up and down with the height h of its transmitter (in feet) above sea level modeled by h = a sin bt + 12. During a large storm its height varies from 3 ft to 21 ft and there are 8.4 sec from one 21-ft height to the next. What are the values of the constants a and b?
27. On a particular Labor Day, the high tide in southern California occurs at 7:12 a.m. At that time you measure the water at the end of the Santa Monica Pier to be 11 ft deep. At 1:24 p.m. it is low tide, and you measure the water to be only 7 ft deep. Assume the depth of the water is a sinusoidal function of time with a period of ½ a lunar day, which is about 12 h 24 min.
a. Write a trigonometric model representing the situation.
b. At what time on that Labor Day does the first low tide occur?
c. What was the approximate depth of the water at 4:00 a.m. and at 9:00 p.m.?
d. What is the first time on that Labor Day that the water is 9 ft deep?
1. A Ferris Wheel 250 ft in diameter makes one revolution every 420 sec. The center of the wheel is 150 feet above the ground.
a. Write a trigonometric model representing the situation.
b. Using your equation, calculate how long after reaching the low point is a rider 120 ft above ground?
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- inverse trig calculator in radians
- inverse trig calculator
- inverse trig identities
- derivative of inverse trig functions
- inverse trig derivative word problems
- inverse trig functions derivative
- how to differentiate inverse trig functions
- integrals of inverse trig functions
- inverse trig derivatives and integrals
- find derivative of inverse trig function
- inverse trig functions derivatives calculator
- inverse trig ratio calculator