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Identifying Identities
Around the Unit Circle
Troubling Triangles
Trying Out Identities
Tricky Trig Equations
100
1/sin(x) = csc(x) is an example of this relationship.
What is the reciprocal relationship.
100
Sine, Cosine, and Tangent are positive in this quadrant.
What is Quadrant I?
100
Use it when you know want to know the opposite leg and you know the measure of the angle and other leg.
What is tangent?
100
The expression (cos^2 x)/(1 - sinx) written in terms of a single trig function.
What is 1 + sin x?
100
All solutions of 1 + 2cos x = 0.
What is (120 + n360) degrees and (240 + n360) degrees?
200
Using the ratio relationship, tan(x) is equal to this.
What is sin(x)/cos(x)?
200
Sin(30)
What is 1/2?
200
The cosine of 60 degrees.
What is 1/2?
200
The expression (cos x)(sin x)/(tan x) written in terms of a single trigonometric expression.
What is cos^2 x?
200
The exact solutions of cos^2 x - cos x - 2 = 0 for 0 < x < 360.
What is x = 180 degrees?
300
sin^2(x) + cos^2(x) = 1
What is the Pythagorean Identity?
300
The cosine of an angle is equal to 'root 2 over 2' here and here.
What is Pi/4 and 7Pi/4? (45 and 315 degrees).
300
The sine of 90 degrees.
What is 1?
300
The expression (cos x sin 2x)/(1 + cos 2x), simplified.
What is sin x?
300
The exact solutions for cos^2 x + 2cos x = -2 when 0 < x < 360 degrees.
What is no solution?
400
Some of you might recognize sin(x + y) = sin(x)cos(y) + cos(x)sin(y) as this type of formula.
What is a sum and difference identity?
400
Sin of these angles are equal to zero.
What are 0 and 180?
400
The tangent of 60 degrees.
What is sqrt(3)?
400
The expression (sin^2 x)/(sin2x) written as a trid function of x instead of as 2x.
What is (sin x)/(2 cos x).
400
1 + tan^2 x + sec x = 0 solved for 0 < x < 360 degrees.
What is x = 180 degrees?
500
sin (2x) = 2sinxcosx
What is a double angle identity?
500
On the unit circle, you can find tangent this way.
What is divide y by x?
500
The tangent of 90 degrees.
What is undefined?
500
The expression 2 cos^2 x - sin^2 x written in terms of a single trig function.
What is cos^2 x + cos 2x?
500
The solution for 1 - sin^2 x = cos^2 x
What is all real numbers?