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Identities
Solving Triangles
Area of Triangles
Potporruri
Graphing
100
Pythagorean Identity involving the Tangent ratio
What is tan^2 + 1 = sec^2?
100
It's the Law of Cosines for angle A
What is a^2 = b^2 + c^2 -2bcCos A?
100
S = 0.5(s1 + s2 + s3)
What is the formula for the semiperimeter of a triangle?
100
The transformations, in the correct order, for the function f(x) = 4sin(x - pi) + 1
What is Right pi units Vertical Stretch x 4 Up 1
100
It's the value that is gives the wave "height" for a trig function.
What is the amplitude?
200
It's the result when you simplify ((1 + sin x)/cos x ) + (cos x/(1 + sin x)
What is 2 sec x?
200
It's the ambiguous case of the Law of Sines
What is Side, Side, Angle?
200
A = sqrt(S + (S - s1)(S - s2)(S - s3))
What is Heron's Formula?
200
The cosine of theta if Sin(theta) = 3/5 where theta is in Q2
What is -4/5? Note: You can solve this using Pythagorean Identities...
200
It's the horizontal length of a cycle of a trig function.
What is the period of the function?
300
It's the result when you simplify sec x (cos (-x)) - sin^2 x
What is cos^2 x?
300
It's the solution to solving Triangle ABC where Angle B is 38, c = 16, and a = 12
What is b = 9.87, A = 48.5, and C = 93.5
300
A triangle with side BC = 7, AC = 9, and angle ACB = 116 has this for its area?
What is 28.3?
300
It's the simplified form of the expression cos(pi/2 - x)(cot x)
What is cos x?
300
It's the transformations, in the correct order, for the function f(x) = 1/3 cos pi*x + 5
What is Horizontal Compression of pi Vertical Compression of 1/3 Up 5
400
True or false? 1/sin(-x) = -csc x
What is True?
400
It's the solution when you solve triangle ABC where a = 23, b = 14, and B = 33.
What is A = 63.5, C = 83.5, c = 25.5 OR A = 116. 5, C = 30.5, and c = 13.0?
400
It's the area of triangle ABC where AC = 23, AB = 17, and CB = 28
What is 195?
400
True or False? cos(-theta) = -cos(theta)
What is False. Remember, I issued a correction to this the day after we introduced identities.
400
It's the table of values for the function given as f(x) = 0.5tan(x - pi/4) + 1
What is (-pi/4, undefined) (0, 1.5) (pi, 1) (pi/2, 0.5) (3pi/4, undefined)
500
True or False? cos 3x = (cos^3(x) - (3 sin^x)(cos x))
What is True?
500
It's the solution when you solve triangle ABC with C = 63, b = 11, and c = 8.
What is no solution? Because 11Sin63 = 9.8, which is larger than 8, no triangle is possible.
500
0.5bcSin A
What is the area of a triangle formula for a triangle given sides b, c, and angle A.
500
An angle whose terminal side is an axis
What is a quadrantal angle?
500
The graph at this link:
https://s3.amazonaws.com/grapher/exports/qgwbl5zjzv.png
What is cos(x + pi/3)?