Trig Functions and the Four Quadrants Quadrant II 90 < < 180 Sine values for angles whose terminal side fall in this quadrant are positive, because the y
Meaning: All trig functions (sin, cos, tan, sec, csc, cot) are positive in the first quadrant Sine is positive in the second quadrant
First Quadrant Second Quadrant Third Quadrant Fourth Quadrant Example 1: The reference angle of ? = 3?/4 and ? = ?3?/4 are both ?/4 Can you see why? 1
ANGLES IN THE FOUR QUADRANTS Redefining the Trigonometric Ratios We begin by taking the circle of radius 1, centre the origin, in the plane
The CAST rule is used to help you remember the quadrants in which ) sin(? ) cos(? and ) tan(? are positive Quadrant 1 is represented by A therefore all
The sine quadrant is a quadrant-shaped plate, which contains grid lines of the scale of trigonometric functions, by which readings and solving trigonometric
The quadrants and some quadrantal angles: (For convenience, we may label a standard angle by labeling its terminal side ) Example What quadrant does 5? 6 lie
PART B: QUADRANTS AND QUADRANTAL ANGLES The x- and y-axes divide the xy-plane into 4 quadrants Quadrant I is the upper right quadrant; the others are
This chapter deals with the subject of trigonometry, which likely had its origins in the Moving quadrant by quadrant around the circle in a positive
All Students Take Calculus Meaning: All trig functions (sin, cos, tan, sec, csc, cot) are positive in the first quadrant Sine is positive in the second quadrant
The quadrants and some quadrantal angles: (For convenience, we may label a standard angle by labeling its terminal side ) Example What quadrant does 5π
Angles in Different Quadrants Note that x and y have different signs in the various quadrants Thus the trig functions will have different signs for the quadrants
Abbreviation Reciprocal Function Co-function Right Triangle Definition Unit Circle Definition Any Angle Definition Positive Quadrants Negative Quadrants
(a) How to memorize the trigonometric identities? Trigonometric Identities Easy Memory Tips: Quadrant sin tan cos is acute II III IV I sin - sin -