The document contains 10 math problems asking for the smallest or largest value of x for which various trigonometric functions are equal to given values over specified intervals. Each problem is labeled as a card within two sets.

1. Set T2 : Card 4 out of 10Set T2 : Card 7 out of 10
π π2−
The smallest value
of x for which
sin x = 0
for ππ ≤≤− x2
The smallest value
of x for which
2
1
sin =x
for π20 ≤≤ x

2. Set T2 : Card 3 out of 10Set T2 : Card 6 out of 10
4
π
3
5π
The largest value of
x for which
cos x =
2
1
for π20 ≤≤ x
The smallest value
of x for which
2(1 + cos x) = 1
for ππ ≤≤− x

3. Set T2 : Card 5 out of 10Set T2 : Card 8 out of 10
3
2π
−
3
π
The smallest value
of x for which
sin x = 3cos x
for π20 ≤≤ x
The largest value of
x for which
sin 2x = 1
for π20 ≤≤ x

4. Set T2 : Card 9 out of 10Set T2 : Card 2 out of 10
4
5π
3
2π
The largest value of
x for which
3sin4 2
=x
for π≤≤ x0
The smallest value
of x for which
01sin5cos2 2
=+− xx
for π20 ≤≤ x

5. Set T2 : Card 10 out of 10Set T2 : Card 1 out of 10
6
π
6
π
−
The smallest value
of x for which
2
3
cos =x
for
22
ππ
≤≤− x
The largest value of
x for which
1)
4
2tan( =+
π
x
for ππ ≤<− x