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Problems
Problem
Problem
Solve for
x
x
x
on
0
≤
x
≤
2
π
0 \le x \le 2\pi
0
≤
x
≤
2
π
: a. a
sin
2
x
=
−
1
2
\sin 2x = -\frac{1}{2}
sin
2
x
=
−
2
1
b. b
cos
3
x
=
3
2
\cos 3x = \frac{\sqrt{3}}{2}
cos
3
x
=
2
3
c. c
tan
2
x
−
3
=
0
\tan 2x - \sqrt{3} = 0
tan
2
x
−
3
=
0
d. d
sin
x
2
=
1
2
\sin \frac{x}{2} = \frac{1}{\sqrt{2}}
sin
2
x
=
2
1
e. e
2
cos
x
2
+
1
=
0
2 \cos \frac{x}{2} + 1 = 0
2
cos
2
x
+
1
=
0
f. f
3
tan
x
3
−
3
=
0
3 \tan \frac{x}{3} - 3 = 0
3
tan
3
x
−
3
=
0
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