Trigonometry

Unit circle definition of sin, cos, tan using degrees

Unit circle definition of sin, cos, tan using radians

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testing sin, cos, tan of angles that are negative or greater than 2pi radians that result in nice exact values. 

Use $\cos^2\theta+\sin^2\theta=1$ and/or an understanding on the unit circle definitions to determine $\cos\theta$ given $\sin\theta$ and the quadrant theta is in.

Use $\cos^2\theta+\sin^2\theta=1$ and/or an understanding on the unit circle definitions to determine $\sin\theta$ given $\cos\theta$ and the quadrant theta is in.

Questions using Pythagoras' theorem involving integers and surds. 

A right-angled triangle is displayed either pointing left or right with one of the other angles and one of the sides given. Use SOH CAH TOA to find the side indicated with an x.

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testing sin, cos, tan of  random(0,90,120,135,150,180,210,225,240,270,300,315,330) degrees but in radians

multiple choice testing sin, cos, tan of angles that are negative or greater than 360 degrees that result in nice exact values. 

multiple choice testing sin, cos, tan of  random(0,90,120,135,150,180,210,225,240,270,300,315,330) degrees

multiple choice testing csc, sec, cot of random(30, 45, 60) degrees

Using the unit circle definition of sin, cos and tan, to calculate the exact value of trig functions evaluated at angles that depend on 0, 30, 45, 60 or 90 degrees.

Using $\cos^2\theta+\sin^2\theta=1$ to evaluate expressions.

Using Pythagoras' theorem to determine the hypotenuse, where side lengths include surds and students enter using sqrt syntax

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Using Pythagoras' theorem to determine a non-hypotenuse side, where side lengths include surds and students enter using sqrt syntax

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multiple choice testing sin, cos, tan of  random(30, 45, 60) degrees

multiple choice testing csc, sec, cot  of  random(pi/6, pi/4, pi/3) radians

multiple choice testing sin, cos, tan of  random(pi/6, pi/4, pi/3) radians

Convert from radians to degrees

Convert from degrees to radians

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