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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
csc
θ
=
±
2
\csc\theta=\pm\sqrt{2}
csc
θ
=
±
2
, providing the general solution.
A)
π
4
,
3
π
4
,
5
π
4
,
7
π
4
±
2
n
π
,
n
∈
Z
\dfrac{\pi}{4},~\dfrac{3\pi}{4},~\dfrac{5\pi}{4},~\dfrac{7\pi}{4}\pm2n\pi,~n\in\mathbb{Z}
4
π
,
4
3
π
,
4
5
π
,
4
7
π
±
2
nπ
,
n
∈
Z
B)
π
4
,
3
π
4
±
2
n
π
,
n
∈
Z
\dfrac{\pi}{4},~\dfrac{3\pi}{4}\pm2n\pi,~n\in\mathbb{Z}
4
π
,
4
3
π
±
2
nπ
,
n
∈
Z
C)
5
π
4
,
7
π
4
±
2
n
π
,
n
∈
Z
\dfrac{5\pi}{4},~\dfrac{7\pi}{4}\pm2n\pi,~n\in\mathbb{Z}
4
5
π
,
4
7
π
±
2
nπ
,
n
∈
Z
D) None of the above
I don't know
Check Submission
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 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
.