Activity 10: Let us find out if you really understand the discussed concept by answering these exercises. 1. Find the exact values of the following, if they exist. a. sin-1 v2 b. arcsin(-) C. sin 12

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Activity 10: Let us find out if you really understand the discussed concept by
answering these exercises.
1. Find the exact values of the following, if they exist.
a. sin-1 V2
21
b. arcsin(-)
C. sin-12
2. Find the exact value of each expression.
a. sin(sin
b. cos[arcsin (-)1
C. sin-111m
2.
2
3. Answer the following.
a. What is the domain of y = sin-1 2x?
b. What is the range of y = sin-1 2x?
4. Find the exact values of the following, if they exist.
a. cos-12
C. arccos(cos T)
b. cos(cos-(-))
d. arccos T
5. Find the exact value of each expression.
c. tan(tan-+ tan-1)
47T
a. arctan (tan-)
b. tan(tan )
3
6.
6. Find the exact of the following, if the exist.
a. sec-1 V2
C. cot-1 V3
e. cos(arccsc-12)
3.
20л
b. csc-11
d. arc sec-1 cot(--))
f. arc cot- sin
3
7 Simplify: a cos(2 cos)
b. sin(cos)
8 Which numbers in the set 0,-.
п п п п 2m Зп 5т
" T, 2n are solutions to the
3 4'
'2' 3
following equations?
Transcribed Image Text:Activity 10: Let us find out if you really understand the discussed concept by answering these exercises. 1. Find the exact values of the following, if they exist. a. sin-1 V2 21 b. arcsin(-) C. sin-12 2. Find the exact value of each expression. a. sin(sin b. cos[arcsin (-)1 C. sin-111m 2. 2 3. Answer the following. a. What is the domain of y = sin-1 2x? b. What is the range of y = sin-1 2x? 4. Find the exact values of the following, if they exist. a. cos-12 C. arccos(cos T) b. cos(cos-(-)) d. arccos T 5. Find the exact value of each expression. c. tan(tan-+ tan-1) 47T a. arctan (tan-) b. tan(tan ) 3 6. 6. Find the exact of the following, if the exist. a. sec-1 V2 C. cot-1 V3 e. cos(arccsc-12) 3. 20л b. csc-11 d. arc sec-1 cot(--)) f. arc cot- sin 3 7 Simplify: a cos(2 cos) b. sin(cos) 8 Which numbers in the set 0,-. п п п п 2m Зп 5т " T, 2n are solutions to the 3 4' '2' 3 following equations?
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