Created by annahita.brooks
over 11 years ago
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Question | Answer |
Converting between Degrees and Radians | Degrees to radians: pi/180 Radians to degrees: 180/pi |
Coterminal Angles | Clockwise direction: + Pi or 360° Counterclockwise direction: - Pi or 360° When asked to find THE coterminal angle use formula: A + x = 360° |
How to find the Reference Angles | |
Formula for Arc Length | C = 2Pi^r |
Sector Area Formula | A = 1/2(t)r^2 A = Pi R^2 |
Terminal angle and initial angel | Initial - starting point - 0° Terminal - finishing point e.g. 90° |
Sin Cos Tan (sin/cos) | 0°, 30°, 45°, 60°, 90° 0, 1/2, √2/2, √3/2, 1 1, √3/2, √2/2, 1/2, 0 0, 1/√3, ?,√3, undefined |
Quadrants | All Students Take Cake Quadrant I - All Positive Quadrant II - All Negative, except sin, csc Quadrant III - All Negative, except tan, cot Quadrant IV - All Negative, except cos, sec |
Sin, Cos and Tan in terms of r,x,y | Sin y/r Cos x/r Tan x/y = sin/cos |
Cosecant | Sin = y/r Cosecant = 1/sin = r/y |
Secant | Cosine = x/r Secant = 1/cosine = r/x |
Cotangent | Tan = y/x Cotangent = 1/ tang = x/y |
General Sine Function | y = a sin b (x - c) + d a = affects amp b =affects period c =affects horizontal transition d =affects vertical transition |
Steps for Graphing Sine Function | 1: v. shift - principal axis 2: amplitude 3: period 4: phase shift |
Principal Axis | y = d Equation: 1/2 (Max + Min) |
Period | 2(Pi)/b b = 2(Pi)/period |
Amplitude | Equation: 1/2 (Max - Min) |
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