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Ma110 Algebra and Trigonometry for Calculus at University of Kentucky (UK)
Typology: Exercises
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π
2
π
3
π
4
π
6
π
6
π
4
π
3
π
2
5 π
6
3 π
4
2 π
3
π
2
π
3
π
4
π
6
π
3
π
4
π
6
π
6
π
4
π
3
5 π
6
3 π
4
2 π
3
π
2
π
3
π
4
π
6
π
3
π
6
π
4
π
4
π
6
π
3
π
2
4 π
3
5 π
4
7 π
6
7 π
6
5 π
4
4 π
3
3 π
2
2 π
3
3 π
4
5 π
6
π
6
π
4
π
3
π
2
arcsin
arcsin
arcsin
arcsin
is undefined. 62. cos
arccos
arccos
arccos
arctan
arctan
arccot
3 74. cot
arccot
arccot
17 π
4
17 π
4
csc
5 π
4
5 π
4
csc
2 π
3
π
3
csc
π
2
3 π
2
csc
11 π
6
7 π
6
sec
11 π
12
13 π
12
csc
9 π
8
9 π
8
sec
π
4
π
4
sec
4 π
3
2 π
3
sec
5 π
6
5 π
6
sec
π
2
is undefined.
sec
5 π
3
π
3
csc
( (^) π
π
6
csc
5 π
4
π
4
csc
2 π
3
π
3
csc
π
2
π
2
csc
11 π
6
π
6
sec
11 π
12
11 π
12
csc
9 π
8
π
8
arccos
arccos
arccot
arcsin
arctan
arcsin
arccos
3 142. tan
arcsec
arcsin
arccos
3 146. cot
arccsc
arccos
arcsin
arccot
11 152. csc (arccot (9)) =
arcsin
arctan
arcsin
π
4
arctan(3) + arccos
2 arcsin
2arccsc
2 arcsin
2arcsec
2arccot
arctan(2)
2
1 − x^2 for − 1 ≤ x ≤ 1
1 + x^2
for all x
x √ 1 − x^2
for − 1 < x < 1
1 + x^2 for all x
1 − x^2
for − 1 < x < 1
2 x
x^2 + 1
for all x
1 − x^2 for − 1 ≤ x ≤ 1
x
4
for 0 < θ <
π
2
, then 4 tan(θ) − 4 θ =
x^2 − 16 − 4arcsec
x
4