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Solving Linear Trigonometric Equations
Related Topics
Wize High School Grade 12 Pre-Calculus Textbook > Trigonometric Equations
Solving Linear Trigonometric Equations
5 Activities
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
.
A)
0
0
0
B)
0
,
π
,
2
π
0, \pi, 2\pi
0
,
π
,
2
π
C)
π
2
,
3
π
2
\displaystyle\frac{\pi}{2}, \displaystyle\frac{3\pi}{2}
2
π
,
2
3
π
D)
0
,
π
0, \pi
0
,
π
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More Solving Linear Trigonometric Equations Questions:
Solving Linear Trigonometric Functions
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
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.