Download Homework: Graphs of Trig functions and Inverse Trig functions

Math Analysis
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Period
Date
Homework: Graphs of Trig functions and Inverse Trig functions
1. Identify each trigonometric function graphed here. Choose from f(x) = sin x, f(x) = cos x,
f(x) = tan x, f(x) = cot x , f(x) = sec x, f(x) = csc x. Write the answer below the graph. Also
indicate the domain and range of each function
Function:
Function:
Function:
Domain:
Domain:
Domain:
Range:
Range:
Range:
Function:
Function:
Function:
Domain:
Domain:
Domain:
Range:
Range:
Range:
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II. Answer the following questions. If the given information is in degrees, answer in
degrees. If the given information is in radians, answer in radians (you may need to use
).
2. sin(77°) = 0.97. What is sin –1(0.97) ?
3. cos(255°) = –0.26 . What is cos –1(–0.26) ?
4. tan(280°) = –5.67 . What is arctan(–5.67) ?
5. sin(222°) = –0.67 . What is arcsin(–0.67) ?
6. sin(5.5) = –0.71. What is sin –1(–0.71) ?
7. cos(–2.5) = –0.80 . What is cos –1(–0.80) ?
8. tan(–1) = –1.56 . What is tan–1(–1.56) ?
9. arcsin(sin 160°) =
10. arccos(cos 320°) =
11. tan-1 (tan 3) =
 5 
12. sin 1  sin 
4


 3 
13. cos arcsin    
 8 

III. Give the domain and range of each of the following functions
14. f(x) = sin-1x
15. f(x) = cos-1x
16. f(x) = arctan x
Domain:
Domain:
Domain:
Range:
Range:
Range:
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