Trigonometric Ratio?
Which two ratios include the hypotenuse?
What are sine and cosine?
45-45-90 and 30-60-90 are considered '-------' triangles.
What are SPECIAL TRIANGLES?
or
What are special right triangles?
You let your kite string all the way out at a 47 degree angle. Your friend is standing directly below the kite, 25 feet away from you. How high is the kite?
What is 26.8 feet?
Factor:
x2 + 9x + 20
(x + 4)(x + 5)
State the best method to use to solve:
x2 + 8x - 20 = 0
factoring
or
quadratic formula
or
graphically
Which ratio represents the opposite side divided by the hypotenuse?
What is Sine?
The longest side of a triangle.
What is the hypotenuse?
You rent a U-Haul that is 15 feet by 12 feet. What is the largest platform you could fit in this truck?
What is 25 feet?
Factor:
n2 + 3n - 18
(n + 6)(n - 3)
Solve the following quadratic equation by using the quadratic formula: x2 - 9x + 20 = 0
x = 5 or x = 4
Use it when you know the length of the hypotenuse and the adjacent leg.
What is Cosine?
The ratio of change in the vertical axis (y-axis) to each unit change in the horizontal axis (x-axis) in the form rise/run. Also the variable m in the
linear equation y =mx + b
Daily Double!!!
What is Slope?
If the legs of a triangle are 3 in and 4 in, what is the hypotenuse?
What is 5 in?
Factor:
49u2 - 36s2
(7u + 6s)(7u - 6s)
Solve the following quadratic equation by using square roots: 2x^2 - 18 = -16
1 or -1
Use it when you know the hypotenuse and the opposite leg.
What is Sine?
The unit of measure for angles (°), equal to 1/360 of a complete revolution.
What is Degree?
If a class has a ratio of 2 boys:3 girls, how many boys are in a class of 30?
What is 12 boys?
Factor:
x2 + 25
Prime.
You cannot factor because this is not a difference of squares problem.
Solve the following quadratic equation by factoring. x^2 - 6x - 27 = 0
x = 9 x = -3
Use it when you know the two legs and need to determine a missing angle.
What is Tangent?
The circle whose center is at the origin and radius is one.
What is the unit circle?
If you spend $54 and tax is 8%, what will your total expense be?
What is $58.32?
Factor:
50a2 - 8c3
2(5a + 2)(5a - 2)
Solve the following quadratic equation by using the quadratic formula: x^2 + 6x + 5 = 0
x = -1 x = -5