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  1. Trigonometry and the Unit Circle The following diagram shows a circle of radius 1 (this is called a unit circle). Point P is used to create a right-angled triangle. The coordinates of P are (x, y). Level 1 – 2 1. Write down the length of the hypotenuse of the triangle. ……………………………………………………… 2.

  2. The unit circle can be used to calculate the trigonometric functions sin(θ), cos(θ), tan(θ), sec(θ), csc(θ), and cot(θ). It utilizes (x,y) coordinates to label the points on the circle, where . x. represents cos(θ) of a given angle, y. represents sin(θ), and . 𝑦𝑦 𝑥𝑥. represents tan(θ). Theta, or θ, represents the angle in ...

  3. Practice Worksheet: The Unit Circle Fill in the blanks. 1. When a circle is divided into 8 equal sections, each central angle measures ___ __ __ degrees and ___ ____ radians. 2. All of the coordinates for special angles on the unit circle ca n be derived from the ___ ____ _ quadrant. 3. The angle whose terminal side passes through @ ¾ 7 6 á ? 5 6

  4. Free worksheet (pdf) and answer key on Unit Circle. 25 scaffolded questions that start relatively easy and end with some real challenges. Plus model problems explained step by step.

  5. The Unit Circle MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The figure shows angle θ in standard position with its terminal side intersecting the unit circle. Evaluate sin θ and cos θ. 1) A) sin θ = - 12 5, cos θ = - 5 12 B) sin θ = 12 13, cos θ = - 5 13 C) sin θ = - 5 13, cos ...

  6. This is a free homework assignment from my unit on Trigonometric Functions for students to practice each ordered pair, degree, and radian measure for one complete revolution. Please visit my store for more engaging task card activities. Complete the unit circle below by naming each ordered pair, degree, and radian measure. Let’s Connect . . .

  7. Homework 10.3 Trig Functions of General Angles Name Section: 1 2 3 4 5 6 Date: Use the unit circle! 10.3 continued on the back!

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