AP Calculus AB
11/4/2003

Name: ________________________

Trig/Inverse Trig Worksheet

Instructions
         No calculator allowed! No calculator allowed! No calculator allowed! No calculator allowed! Initial here ___ to indicate that you have actually read these instructions. If you attempt to use a calculator made by Texas Instruments or any of the other principal manufacturers to solve these problems, a special detector will activate a hidden microprocessor that will give you bad breath, scramble your cell phone’s memory, and leave you in a state of general confusion throughout the month of November.

1.

sin 3 is closest to

 

(A) 0.2
(B) 0.7
(C) 1.5

(D) –0.2
(E) –0.7

 

 

2.

sin–1 3 is closest to

 

(A) 0.2
(B) 0.7
(C) 1.5

(D) –0.2
(E) impossible

 

 

 

3.

sin–1 (sin 3) is closest to

 

(A) 0
(B) 1.5
(C) –1.5

(D) 3
(E) –3

 

 

4.

sin (sin–1 0.3) is closest to

 

(A) 0.2
(B) 0.7
(C) 1.5

(D) –0.2
(E) impossible

 

 

5.

sin (sin–1 3) is closest to

 

(A) 0.2
(B) 0.7
(C) 1.5

(D) –0.2
(E) impossible

 

 

6.

tan–1 7 is closest to

 

(A) 0.2
(B) 0.7
(C) 1.5

(D) –0.2
(E) impossible

 

 

7.

tan (–3p) is closest to

 

(A) 0.2
(B) –0.7
(C) –1.5

(D) –0.2
(E) 0

 

 

8.

tan–1 (–3p) is closest to

 

(A) 0.2
(B) –0.7
(C) –1.5

(D) –0.2
(E) 0

 

 

9.

sin(cos–1 (–½)) is closest to

 

(A) 0.2
(B) 0.7
(C) 1.5

(D) –0.2
(E) impossible

 

 

10.

cos(sin–1 (–½)) is closest to

 

(A) 0.2
(B) 0.7
(C) 1.5

(D) –0.2
(E) impossible

 

 

11.

sin(sin–1 (–½)) is closest to

 

(A) 0.2
(B) 0.7
(C) 1.5

(D) –0.2
(E) impossible

 

 

12.

sin–1 (sin(–½)) is closest to

 

(A) 0.2
(B) 0.7
(C) 1.5

(D) –0.2
(E) impossible

 

 

13.

sin–1 (sin(–6)) is closest to

 

(A) 0.2
(B) 0.7
(C) 1.5

(D) –0.2
(E) impossible

 

 

14.

cot–1 3 equals

 

(A) 1/(cot 3)
(B) 1/(tan 3)
(C) cot–1 1/3

(D) tan–1 1/3
(E) none of these

 

 

15.

cos–1 (–½) – cos p/3 is closest to

 

(A) 0.2
(B) 0.7
(C) 1.5

(D) 2.5
(E) impossible

 

 

16.

sec–1 (–10) is closest to

 

(A) 0.2
(B) 0.7
(C) 1.5

(D) –0.2
(E) impossible

 

 

17.

csc–1 (–10) is closest to

 

(A) 0.2
(B) 0.7
(C) 1.5

(D) –0.2
(E) impossible