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Solving Linear Trigonometric Functions
Related Topics
Wize High School Grade 12 Pre-Calculus Textbook > Trigonometric Equations
Solving Linear Trigonometric Equations
5 Activities
Practice: Solving Linear Trigonometric Functions
Solve for
θ
\theta
θ
over the domain
0
≤
θ
≤
2
π
0\leq{}\theta\leq{}2\pi
0
≤
θ
≤
2
π
.
cos
θ
tan
θ
−
3
cos
θ
−
sin
θ
tan
θ
+
3
sin
θ
=
0
\cos\theta\tan\theta-\sqrt{3}\cos\theta-\sin\theta\tan\theta+\sqrt{3}\sin\theta=0
cos
θ
tan
θ
−
3
cos
θ
−
sin
θ
tan
θ
+
3
sin
θ
=
0
A)
π
6
,
π
4
,
7
π
6
\dfrac{\pi}{6},~\dfrac{\pi}{4},~\dfrac{7\pi}{6}
6
π
,
4
π
,
6
7
π
B)
π
4
,
π
3
,
4
π
3
\dfrac{\pi}{4},~\dfrac{\pi}{3},~\dfrac{4\pi}{3}
4
π
,
3
π
,
3
4
π
C)
π
6
,
π
4
,
7
π
6
,
5
π
4
\dfrac{\pi}{6},~\dfrac{\pi}{4},~\dfrac{7\pi}{6},~\dfrac{5\pi}{4}
6
π
,
4
π
,
6
7
π
,
4
5
π
D)
π
4
,
π
3
,
5
π
4
,
4
π
3
\dfrac{\pi}{4},~\dfrac{\pi}{3},~\dfrac{5\pi}{4},~\dfrac{4\pi}{3}
4
π
,
3
π
,
4
5
π
,
3
4
π
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More Solving Linear Trigonometric Equations Questions:
Solving Linear Trigonometric Equations
Practice: Solving Linear Trigonometric Equations
Let
3
cos
θ
+
2
3
cos
θ
=
27
\sqrt{3}\cos{\theta}+2\sqrt{3}\cos{\theta}=\sqrt{27}
3
cos
θ
+
2
3
cos
θ
=
27
. Solve for
θ
\theta~
θ
over the domain
0
≤
θ
<
2
π
0\leq{\theta}<2\pi
0
≤
θ
<
2
π
.
Solving Linear Trigonometric Functions
Practice: Solving Linear Trigonometric Functions
Solve
csc
θ
=
±
2
\csc\theta=\pm\sqrt{2}
csc
θ
=
±
2
, providing the general solution.