Pythagorean Thm
Explain the Pythagorean Thm; give the equation and explain what it's used for.
a^2 + b^2 = c^2, used to find an unknown side length of a right triangle.
If a leg of a 45, 45, 90 degree triangle is 3, solve for the other leg and the hypotenuse
3 and 3rt(2)
What does SOHCAHTOA stand for?
Sine = opp/hyp, Cosine = adj/hyp, Tangent = opp/adj
8, 15, 17 is an example of a ________ triple
Pythagorean
1/tangent = ?
Cotangent
Name two Pythagorean triples (2 sets of side lengths that form right triangles)
3, 4, 5
5, 12, 13
7, 24, 25
If a hypotenuse of a 45, 45, 90 degree triangle is 20, find the length of the legs of the triangle
10rt(2)
Calculate sin(45) to the nearest thousandth.
0.707
Sine, Cosine and Tangent are examples of _________ratios
1/cosine = ?
Secant
Does 15, 9, 12 form a right triangle? Explain
Yes, multiple of 3, 4, 5
a^2 + b^2 = c^2
If you are given a 30, 60, 90 degree triangle, and the leg across from the 30 degree angle is 6, determine the lengths of the longer leg and the hypotenuse.
6rt(3) and 12
If cosA = 3/5, calculate A to the nearest degree.
37 degrees
If cosB = 2/7, we would use ________ cosine to solve for B
Inverse
1/sine = ?
Cosecant
Is a 5, 6, 7 triangle a right, acute, or obtuse triangle? Why?
Acute
If you are given a 30, 60, 90 degree right triangle and the length of the leg across from the 60 degree angle is 9, determine the length of the short leg and the hypotenuse
3rt(3) and 6rt(3)
If tan(15) = 8/x, solve for x. Round to the nearest whole number.
30
Angles formed by a horizontal line and the line of sight to objects that are above or below the horizontal line are called angles of ______________ and _________________
Elevation and Depression
Finish the trig identity: Tangent = ____/_____
Tangent = sine/cosine