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Solving Quadratic Trigonometric Equations
Related Topics
Wize High School Grade 12 Pre-Calculus Textbook > Trigonometric Equations
Solving Quadratic Trigonometric Equations
5 Activities
Practice: Solving Quadratic Trigonometric Equations
Solve for
θ
\theta
θ
over the domain
0
≤
θ
≤
2
π
0\leq{}\theta\leq{}2\pi
0
≤
θ
≤
2
π
.
3
sec
2
θ
−
4
=
0
3\sec^2\theta-4=0
3
sec
2
θ
−
4
=
0
A)
π
6
,
5
π
6
\dfrac{\pi}{6},~\dfrac{5\pi}{6}
6
π
,
6
5
π
B)
7
π
6
,
11
π
6
\dfrac{7\pi}{6},~\dfrac{11\pi}{6}
6
7
π
,
6
11
π
C)
π
6
,
5
π
6
,
7
π
6
,
11
π
6
\dfrac{\pi}{6},~\dfrac{5\pi}{6},~\dfrac{7\pi}{6},~\dfrac{11\pi}{6}
6
π
,
6
5
π
,
6
7
π
,
6
11
π
D)
5
π
6
,
7
π
6
\dfrac{5\pi}{6},~\dfrac{7\pi}{6}
6
5
π
,
6
7
π
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More Solving Quadratic Trigonometric Equations Questions:
Solving Quadratic Trigonometric Equations
Practice: Solving Quadratic Trigonometric Equations
Let
2
tan
2
θ
=
3
tan
θ
−
1
2\tan^2\theta=3\tan\theta-1
2
tan
2
θ
=
3
tan
θ
−
1
. Find
θ
\theta
θ
over the domain
0
≤
θ
≤
2
π
0\le\theta\le2\pi
0
≤
θ
≤
2
π
.
Solving Quadratic Trigonometric Equations
Practice: Solving Quadratic Trigonometric Equations
Let
4
sin
θ
cos
θ
−
1
=
0
4\sin\theta\cos\theta-1=0
4
sin
θ
cos
θ
−
1
=
0
. Find
θ
\theta
θ
and the general solutions.
Trigonometric Identities & Proofs
Solve for
x
x
x
over the domain
0
≤
x
<
2
π
0\leq{}x<2\pi
0
≤
x
<
2
π
.
cos
2
x
=
sin
x
\cos{2x}=\sin{x}
cos
2
x
=
sin
x
Solving Quadratic Trigonometric Equations
Solve for
θ
\theta
θ
over the domain
−
2
π
≤
θ
<
2
π
-2\pi\leq\theta<2\pi
−
2
π
≤
θ
<
2
π
.
2
sin
2
θ
−
sin
θ
−
3
2\sin^2\theta-\sin\theta-3
2
sin
2
θ
−
sin
θ
−
3