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Trigonometric Ratios, the Unit Circle, & Special Angles

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

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

Special Angles & Unit Circle in Radians

6 Activities

Practice: Trigonometric Ratios, the Unit Circle, & Special Angles

The terminal arm of some angle θ\theta has an endpoint of P(−3,4)P(-\sqrt{3},4). It intersects the unit circle at some point Q(x,y)Q(x, y). What are the coordinate points of Q?Q?

More Special Angles & Unit Circle in Radians Questions:
Trigonometric Ratios, the Unit Circle, & Special Angles
Practice: Trigonometric Ratios, the Unit Circle, & Special Angles
Let sin⁡θ=47  &  cos⁡θ>0\sin{\theta}=\displaystyle\frac{4}{7}~~\&~~\cos{\theta}>0 for some θ\theta in the domain 0≤θ<2π0\leq{}\theta<2\pi. Determine the 5 other trigonometric ratios. Leave the answer in exact form.
Trigonometric Ratios, the Unit Circle, & Special Angles
Practice: Trigonometric Ratios, the Unit Circle, & Special Angles
The terminal arm of some angle θ\theta has an endpoint of P(2,−3)P(2,-3). It intersects the unit circle at some point Q(x,y)Q(x, y). What are the coordinate points of Q?Q?
Trigonometric Ratios, the Unit Circle, & Special Angles
Practice: Trigonometric Ratios, the Unit Circle, & Special Angles
Let cos⁡θ=13  &  sin⁡θ<0\cos{\theta}=\displaystyle\frac{1}{3}~~\&~~\sin{\theta}<0 for some θ\theta in the domain 0≤θ<2π0\leq{}\theta<2\pi. Determine the 5 other trigonometric ratios. Leave the answer in exact form.
Trigonometric Ratios, the Unit Circle, & Special Angles
Practice: Trigonometric Ratios, the Unit Circle, & Special Angles
Let θ=7π4\theta{}=\dfrac{7\pi}{4}. Find:
cos⁡θ\cos{\theta}
Trigonometric Ratios, the Unit Circle, & Special Angles
Practice: Trigonometric Ratios, the Unit Circle, & Special Angles
Let θ=7π6\theta{}=\dfrac{7\pi}{6}. Find:
cos⁡θ\cos{\theta}
More Special Angles & Unit Circle in Radians Questions:
Trigonometric Ratios, the Unit Circle, & Special Angles
Practice: Trigonometric Ratios, the Unit Circle, & Special Angles
Let sin⁡θ=47  &  cos⁡θ>0\sin{\theta}=\displaystyle\frac{4}{7}~~\&~~\cos{\theta}>0 for some θ\theta in the domain 0≤θ<2π0\leq{}\theta<2\pi. Determine the 5 other trigonometric ratios. Leave the answer in exact form.
Trigonometric Ratios, the Unit Circle, & Special Angles
Practice: Trigonometric Ratios, the Unit Circle, & Special Angles
The terminal arm of some angle θ\theta has an endpoint of P(2,−3)P(2,-3). It intersects the unit circle at some point Q(x,y)Q(x, y). What are the coordinate points of Q?Q?
Trigonometric Ratios, the Unit Circle, & Special Angles
Practice: Trigonometric Ratios, the Unit Circle, & Special Angles
Let cos⁡θ=13  &  sin⁡θ<0\cos{\theta}=\displaystyle\frac{1}{3}~~\&~~\sin{\theta}<0 for some θ\theta in the domain 0≤θ<2π0\leq{}\theta<2\pi. Determine the 5 other trigonometric ratios. Leave the answer in exact form.
Trigonometric Ratios, the Unit Circle, & Special Angles
Practice: Trigonometric Ratios, the Unit Circle, & Special Angles
Let θ=7π4\theta{}=\dfrac{7\pi}{4}. Find:
cos⁡θ\cos{\theta}
Trigonometric Ratios, the Unit Circle, & Special Angles
Practice: Trigonometric Ratios, the Unit Circle, & Special Angles
Let θ=7π6\theta{}=\dfrac{7\pi}{6}. Find:
cos⁡θ\cos{\theta}