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Solving Simple Trigonometric Equations

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Wize High School Grade 12 Pre-Calculus Textbook > Trigonometric Ratios (Radians)

Solving Simple Trigonometric Equations

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Solving Simple Trigonometric Equations

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Practice: Solving Simple Trigonometric Equations


Let 4sin⁡θ−2sin⁡θ=14\sin\theta-2\sin\theta=1. Solve for θ \theta~ over the domain 0≤θ<2π0\leq{\theta}<2\pi.




More Solving Simple Trigonometric Equations Questions:
Solving Trigonometric Equations
Find aa over the domain 0≤a<2π0\leq{}a<2\pi
cot⁡a2=1\cot\dfrac{a}{2}=1
Solving Simple Trigonometric Ratios
Solve for θ\theta over the interval (−∞,∞)(-\infin,\infin):
4cos⁡3θ=24\cos3\theta=2
Solving Simple Trigonometric Equations
Solve for θ\theta over the domain 0≤θ<2π0\leq{}\theta<2\pi
2sin⁡θ=−22\sin\theta=-\sqrt{2}
Solving Simple Trigonometric Equations
Practice: Solving Simple Trigonometric Equations
Let tan⁡2θ=1\tan{2\theta}=1. Solve for θ\theta, providing the general solution.
Solving Simple Trigonometric Equations
Practice: Solving Simple Trigonometric Equations
Let cos⁡2θ=−32\cos{2\theta}=-\dfrac{\sqrt{3}}{2}. Solve for θ\theta, providing the general solution.
Solving Simple Trigonometric Equations
Practice: Solving Simple Trigonometric Equations
Let 32sec⁡θ−2sec⁡θ=43\sqrt{2}\sec{\theta}-\sqrt{2}\sec{\theta}=4. Solve for θ \theta~ over the domain 0≤θ<2π0\leq{\theta}<2\pi.
Solving Simple Trigonometric Equations
Practice: Solving Simple Trigonometric Equations
Solve cos⁡θ=12\cos{\theta}=\dfrac{1}{\sqrt{2}} over the domain 0≤θ<2π0\leq{}\theta<2\pi.
Solving Simple Trigonometric Equations
Practice: Solving Simple Trigonometric Equations
Solve sin⁡θ=−32\sin{\theta}=-\dfrac{\sqrt{3}}{2} over the domain 0≤θ<2π0\leq{}\theta<2\pi.
More Solving Simple Trigonometric Equations Questions:
Solving Trigonometric Equations
Find aa over the domain 0≤a<2π0\leq{}a<2\pi
cot⁡a2=1\cot\dfrac{a}{2}=1
Solving Simple Trigonometric Ratios
Solve for θ\theta over the interval (−∞,∞)(-\infin,\infin):
4cos⁡3θ=24\cos3\theta=2
Solving Simple Trigonometric Equations
Solve for θ\theta over the domain 0≤θ<2π0\leq{}\theta<2\pi
2sin⁡θ=−22\sin\theta=-\sqrt{2}
Solving Simple Trigonometric Equations
Practice: Solving Simple Trigonometric Equations
Let tan⁡2θ=1\tan{2\theta}=1. Solve for θ\theta, providing the general solution.
Solving Simple Trigonometric Equations
Practice: Solving Simple Trigonometric Equations
Let cos⁡2θ=−32\cos{2\theta}=-\dfrac{\sqrt{3}}{2}. Solve for θ\theta, providing the general solution.
Solving Simple Trigonometric Equations
Practice: Solving Simple Trigonometric Equations
Let 32sec⁡θ−2sec⁡θ=43\sqrt{2}\sec{\theta}-\sqrt{2}\sec{\theta}=4. Solve for θ \theta~ over the domain 0≤θ<2π0\leq{\theta}<2\pi.
Solving Simple Trigonometric Equations
Practice: Solving Simple Trigonometric Equations
Solve cos⁡θ=12\cos{\theta}=\dfrac{1}{\sqrt{2}} over the domain 0≤θ<2π0\leq{}\theta<2\pi.
Solving Simple Trigonometric Equations
Practice: Solving Simple Trigonometric Equations
Solve sin⁡θ=−32\sin{\theta}=-\dfrac{\sqrt{3}}{2} over the domain 0≤θ<2π0\leq{}\theta<2\pi.