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Trigonometric Ratios in Radians

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

Trigonometric Ratios in Radians

5 Activities

Wize High School Algebra II Textbook (Common Core) > Trigonometric Ratios (Radians)

Trigonometric Ratios in Radians

5 Activities

Practice: Trigonometric Ratios in Radians


Fill in the blanks.
If the initial angle is in radians, answer in radians. If the initial angle is in degrees, answer in degrees.
Do NOT include units in your answer.

Reference AngleCoterminal Angle between−2π≤θ≤2π; −360∘≤θ≤360∘205∘a.b.4π3c.d.−135∘e.f.−3π4g.h.\begin{array}{|c|l|l|}\hline &\textbf{Reference Angle}&\textbf{Coterminal Angle between}\\ &&\footnotesize-2\pi\leq{}\theta{}\leq{}2\pi;~-360^\circ\leq{}\theta{}\leq{}360^\circ\\\hline\\ 205^\circ&\textbf{a.}&\textbf{b.}\\\\\hline\\ \dfrac{4\pi}{3}&\textbf{c.}&\textbf{d.}\\\\\hline\\ -135^\circ&\textbf{e.}&\textbf{f.}\\\\\hline\\ -\dfrac{3\pi}{4}&\textbf{g.}&\textbf{h.}\\\\\hline \end{array}
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More Trigonometric Ratios in Radians Questions:
Special Angles & Unit Circle
Let P(−2,3)P(-2,3) be on the terminal arm for some angle θ\theta.
Determine the following trigonometric ratios:
Trigonometric Functions of Angles in Standard Position, Reference & Coterminal Angles
Practice: Trigonometric Functions of Angles in Standard Position
Reference & Coterminal Angles
Let cos⁡θ<0\cos{\theta}<0 and sin⁡θ<0\sin{\theta}<0.
Trigonometric Functions of Angles in Standard Position, Reference & Coterminal Angles
Practice: Trigonometric Functions of Angles in Standard Position
Reference & Coterminal Angles
Let cos⁡θ<0\cos\theta<0 and tan⁡θ<0\tan{\theta}<0.
Trigonometric Functions of Angles in Standard Position, Reference & Coterminal Angles
Practice: Trigonometric Functions of Angles in Standard Position,
Reference & Coterminal Angles
Let P(3x,−5x)P(\sqrt{3x},-\sqrt{5x}) be a point on the terminal arm of some angle θ.\theta. Find cos⁡θ, sin⁡θ, tan⁡θ\cos{\theta},~\sin{\theta},~\tan{\theta}. Leave answer in exact form.
Trigonometric Functions of Angles in Standard Position, Reference & Coterminal Angles
Practice: Trigonometric Functions of Angles in Standard Position,
Reference & Coterminal Angles
Let P(−x3,−x3)P(-\sqrt{x^3},-\sqrt{x^3}) be a point on the terminal arm of some angle θ.\theta. Find cos⁡θ, sin⁡θ, tan⁡θ\cos{\theta},~\sin{\theta},~\tan{\theta}. Leave answer in exact form.
Trigonometric Ratios in Radians
Practice: Trigonometric Ratios in Radians
Fill in the blanks.
If the initial angle is in radians, answer in radians. If the initial angle is in degrees, answer in degrees.
More Trigonometric Ratios in Radians Questions:
Special Angles & Unit Circle
Let P(−2,3)P(-2,3) be on the terminal arm for some angle θ\theta.
Determine the following trigonometric ratios:
Trigonometric Functions of Angles in Standard Position, Reference & Coterminal Angles
Practice: Trigonometric Functions of Angles in Standard Position
Reference & Coterminal Angles
Let cos⁡θ<0\cos{\theta}<0 and sin⁡θ<0\sin{\theta}<0.
Trigonometric Functions of Angles in Standard Position, Reference & Coterminal Angles
Practice: Trigonometric Functions of Angles in Standard Position
Reference & Coterminal Angles
Let cos⁡θ<0\cos\theta<0 and tan⁡θ<0\tan{\theta}<0.
Trigonometric Functions of Angles in Standard Position, Reference & Coterminal Angles
Practice: Trigonometric Functions of Angles in Standard Position,
Reference & Coterminal Angles
Let P(3x,−5x)P(\sqrt{3x},-\sqrt{5x}) be a point on the terminal arm of some angle θ.\theta. Find cos⁡θ, sin⁡θ, tan⁡θ\cos{\theta},~\sin{\theta},~\tan{\theta}. Leave answer in exact form.
Trigonometric Functions of Angles in Standard Position, Reference & Coterminal Angles
Practice: Trigonometric Functions of Angles in Standard Position,
Reference & Coterminal Angles
Let P(−x3,−x3)P(-\sqrt{x^3},-\sqrt{x^3}) be a point on the terminal arm of some angle θ.\theta. Find cos⁡θ, sin⁡θ, tan⁡θ\cos{\theta},~\sin{\theta},~\tan{\theta}. Leave answer in exact form.
Trigonometric Ratios in Radians
Practice: Trigonometric Ratios in Radians
Fill in the blanks.
If the initial angle is in radians, answer in radians. If the initial angle is in degrees, answer in degrees.