Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Inverse Trigonometry Summary sin
Document related concepts
no text concepts found
Transcript
Inverse Trigonometry Summary Solving a problem that gives you an inverse: You should get one answer. sin-1x: Given a positive ratio, the angle will be positive in Quadrant I Given a negative ratio, the angle will be negative in Quadrant IV Inverse sine is always on the right side of the unit circle csc-1x: Given a positive ratio, the angle will be positive in Quadrant I Given a negative ratio, the angle will be negative in Quadrant II Inverse cosescant is always on the top of the unit circle tan-1x: Given a positive ratio, the angle will be positive in Quadrant I Given a negative ratio, the angle will be negative in Quadrant IV Inverse tangent is always on the right side of the unit circle cos-1x: Given a positive ratio, the angle will be positive in Quadrant I Given a negative ratio, the angle will be positive in Quadrant II Inverse cosine is always on the top of the unit circle sec-1x: Given a positive ratio, the angle will be positive in Quadrant I Given a negative ratio, the angle will be positive in Quadrant II Inverse secant is always on the top of the unit circle cot-1x: Given a positive ratio, the angle will be positive in Quadrant I Given a negative ratio, the angle will be positive in Quadrant II Inverse cotangent is always on the top of the unit circle Solving an equation: You will get at least 1 answer between , usually you will get more. Cosine is positive in Quadrants I and IV Cosine is negative in Quadrants II, III Sine is positive in Quadrants I, II Sine is negative in Quadrants III, IV Tangent is positive in Quadrants I, III Tangent is negative in Quadrants II, IV When solving an equation: If the 2nd angle is in: 1) Quadrant II: 180 – angle in triangle 2) Quadrant III: 180 + angle in triangle 3) Quadrant IV: 360 – angle in triangle Reciprocals follow the primary trig function Quick Summary of Inverses Solving problems given an inverse Inverse Trig Given Ratio Function sin-1x + sin-1x - Angle (Result) Quadrant + - I IV csc-1x csc-1x + - + - I IV tan-1x tan-1x + - + - I IV cos-1x cos-1x + - + + I II sec-1x sec-1x + - + + I II cot-1x cot-1x + - + + I II Solving Equations Trig Function Cosine Cosine Given Ratio + - Angle in Quadrant I, IV II, III Sine Sine + - I, II III, IV Tangent Tangent + - I, III II, IV
Related documents