University:
Concordia University Texas
Course:
MTH 3101 | Problem Solving: Algebra, Geometry, and Trigonometry
Academic year:

2021
Views:

272

Pages:

2
Author:

tristepeon32s

ACT “Cheat Sheet” CIRCLES TRIANGLES #1: Angles add up to 180o. #1: Angles add up to 360o. #2: The longest side is shorter than the sum of the two shorter sides. #2: Circumference = 2πr. Area = πr2. #3: #3: wedge area = xo x o 45 x 2 360  circle area x 45o x #4: #4: 2x arc length = xo x  circumference 360 60o x #5: A tangent line touches a circle (or curve) at one point and is perpendicular to the radius. 30o x 3 #5: Right triangles  a2 + b2 = c2 #6: 3-4-5 5-12-13 6-8-10 10-24-26 … … TRIGONOMETRY COORDINATE GEOMETRY o a o #1: S C T h h a 1 1 1 csc  , cot  , sec  #2: tan sin cos  #3: Degrees  = Radians 180 Radians  180  = Degrees #1: Slope = “Rise over Run” = y 2  y1 x 2  x1 #2: Distance = ( x 2  x1 ) 2  ( y 2  y1 ) 2 .  x1  x 2 y1  y 2  , . 2   2 #3: Midpoint =  #4: Parallel lines have the same slope. #4 & #5: S    0       A 2 2 T Perpendicular lines have negative y 3  3 2 2 #6: sin2θ + cos2θ = 1 reciprocal slopes, m2   x 1 . m1 #5: Equation of a line: y = mx + b.    2 C #6: x-intercept is when y equals 0; y-intercepts is when x equals 0. . ACT “Cheat Sheet” - Continued COORDINATE GEOMETRY – continued COORDINATE GEOMETRY – continued #7: Horizontal lines have slope = 0 and have equations like y = _____. #9: Parabola y = (x – h)2 + k has vertex at (h, k). y Vertical lines have “undefined slopes” or “no slope” and have equations like x = _____. #8: Circle (x – h)2 + (y – k)2 = r2 has center at (h, k) and radius = r. y x #10: Parabola y = ax2 + bx + c has axis b of symmetry at x  2a y r (h, k) O (h, k) O x O LOGARITHMS #1: log b  x  y  x  b y #2: log A  B   log A  log B   A log    log( A)  log( B ) b B #3: log A   B  log A  #4: log10 x   log x  log e  x   lnx  log x  logb  #6: Use your calculator for Logarithm problems! #5: log b x   x b 2a x WRITE YOUR OWN