By: Alvin Nguyen. Unit Circle Jeopardy ConversionsRotation AnglesReference Angles Trig FunctionsWord Problems 10 20 30 40 50.

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Presentation transcript:

By: Alvin Nguyen

Unit Circle Jeopardy ConversionsRotation AnglesReference Angles Trig FunctionsWord Problems

Convert 90 degrees into radians. Pi/2 or 1.57 radians

Convert pi/3 into degrees. 60 degrees

Convert 420 degrees into radians. 7pi/3 or 7.33 radians

Convert 2pi/3 into degrees. 120 degrees

Convert -285 degrees into radians. -19pi/12 rad.

A positive angle that terminates in Quadrant III with a 80 degree reference angle. What is the rotational angle? 260 degrees

A negative angle terminates in Quadrant III with a 22 degree reference angle. What is the rotational angle? -158 degrees

A positive angle terminates in Quadrant II with a 15 degree reference angle. What is the rotational angle? 165 degrees

A negative angle that terminates in Quadrant I with a 75 degree reference angle. What is the rotational angle? -285 degrees

A positive angle that terminates in Quadrant IV with a 50 degree reference angle. What is the rotational angle? 310 degrees

Rotational Angle: 2pi/3 What is the reference angle? Pi/3 or 60 degrees

Rotational Angle: 11pi/2 What is the reference angle? Pi/12 or 15 degrees

Rotational Angle: 5pi/6 What is the reference angle? Pi/6 or 30 degrees

Rotational Angle: 17pi/12 What is the reference angle? 5pi/12 or 75 degrees

Rotational Angle: 7pi/4 What is the reference angle? Pi/4 or 45 degrees

Evaluate the trigonometric function for this angle: Tan(240 degrees) √(3)

Evaluate the trigonometric function for this angle: Cot(150 degrees) -√(3)

Evaluate the trigonometric function for this angle: Sec(315 degrees) √(2)

Evaluate the trigonometric function for this angle: Csc(60 degrees) 2√(3)/3

Label the quadrants where the trig ratios are positive. Quadrant I: sin, cos, tan, cot, sec, csc Quadrant II: sin, csc Quadrant III: tan, cot Quadrant IV: cos, sec

What is the initial side of a circle when dealing with degrees? Initial side is the side where the rotation angle starts, located on the positive x-axis, and it is also referred to as 0.

What is the difference between positive angles and negative angles? Positive angles are angles that go counter-clockwise from 0 degrees. Negative angles are angles that go clockwise from 0 degrees.

Five right angles will equal to how many degrees in a circle? 450 degrees

An arc of a circle is how many degrees regularly? One radian

Find the sector area of the shaded part of the circle where it is covered by 240 degrees that has a radius of 8 inches? Hint: S=0.5r^2(degrees) 33pi/3 or in^2.