Mystery Angles
Mystery Trig Values
Mystery Identities
Fun With Angles!
Fun With Graphs
100
I am an angle in Quadrant I with a tangent of 1.
What is Π / 4 ?
100
I am an angle in Quadrant I with a sine of √ 3  / 2. What is my cosine?
What is 1/2 ?
100
I am a trigonometric identity that should be used to find the value of sin(45 + 30) ?
What is sin(α + β) = sin α cos β + cos α sin β ?
100
I am a simpler version of sin(θ + Π/2).
What is cos(θ) ?
100
I am an x-coordinate at which the graph of the function f(x) = sin(x) - 1 will touch the x-axis.
What is π/2 ?
200
I am an angle in Quadrant II with a cosine of - 1/2.
What is 2 π / 3 ?
200
I am an angle in Quadrant II with a tangent of - 4/3. What is my sine?
What is 4/5 ?
200
I am the identity that is used to rewrite cos x cos 2x + sin x sin 2x as cos x.
What is cos( α - β) = cos α cos β + sin α sin β
200
I am an angle α in Quadrant IV, and my sine is - 1/2. What is the tangent of an angle twice my size?
What is - √ 3  ?
200
I am an x-coordinate at which the graph of the function f(x) = sec(x) - √ 2  crosses the x-axis.
What is π/4 ?
300
I am an angle in Quadrant III with a sine of -1/2.
What is 7 Π / 6 ?
300
I am an angle in Quadrant III with a cosine of - 12/13. What is my tangent?
What is 5/12 ?
300
I am the trigonometric identity you should use to evaluate cos(105).
What is the half angle identity for cos(α / 2) ?
300
Hello, I am the angle α , I live in Quadrant I and my sine is 1/2. This is my friend β, she lives in Quadrant IV and her cosine is 1/2. What is the cosine of our difference?
What is 0 ?
300
I am an x-coordinate at which the graph of f(x) = 2 sin^2(x) cos(x) - cos(x) crosses the x-axis.
What is π/2 or π/4 (or many others!)
400
I am an angle in Quadrant IV with a secant of √ 2 
What is 7 π / 4 ?
400
I am an angle in Quadrant IV with a cosine of 8 / 17. What is my sine?
What is - 15 / 17 ?
400
I am an identity that should be used to verify that sin^2(x) + cos(2x) = cos^2 x
What is the double angle identity for cos(2x) ?
400
I am an angle in Quadrant I whose sine is 12/13. What is my secant?
What is 13/5 ?
400
VISUAL DAILY DOUBLE! I am an interval on the x-axis over which ALL possible output values of y = sin(x) are reached, but no output values are repeated.
What is -π / 2 to π / 2 ?
500
I am an angle between 0 and 2 Π with a cosine of -1.
What is Π ?
500
I am an angle between 0 and 2Π with a sine of -1. What is my secant?
What is undefined?
500
I am the identity that should be used to find the exact value of cos(75) * cos(15).
What is the product-to-sum identity for cos α cos β ?
500
I am an angle in Quadrant I whose sine is 3/5. What is the cosine of twice of me?
What is 7/25 ? Are we sure??
500
VISUAL DAILY DOUBLE! I am an interval on the x-axis over which ALL possible output values of y = cos(x) are reached, but no output values are repeated.
What is 0 to π ?