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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
The area of a triangle with a = 8, b = 6 and C = 30 degrees.
What is 12?
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 length of side r in triangle PQR if P = 32 degrees, Q = 115 degrees and p = 5.6.
What is 5.8 units?
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 length of side p in triangle PQR if q = 46, r = 72, and P = 126 degrees.
What is 106 units?
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 number of solutions for a triangle ABC with a = 12, b = 15, and A = 30 degrees.
What is two solutions?
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 number of triangles defined in triangle ABC if c = 2, b = 20, and C = 150 degrees.
What is 0 triangles.
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?