Pre-Cal and Trigonometry Chapter 4

Finding the Positive Coterminal

Add or subtract 2pi ex. 1. 17pi/6 - 2pi = 17pi/6 - 12pi/6 = 5pi/6 2. -pi/12 + 2pi = -pi/12 + 24pi/12 = 23pi/12

Angles in Standard Position

ex. 1. pi/4 = 1/8 x 2pi 2. 5pi/4 = 5/8 x 2pi 3. 3pi/4 = 3/8 x 2pi 4. 9pi/4 = 9/8 x 2pi

Reciprocal Identities

Sin t = 1/csc Cos t = 1/sec Tan t = 1/cot Csc t = 1/sin Sec t = 1/cos Cot t = 1/tan

6 Trig Functions in Terms of a Unit Circle

Sin t = y Cos t = x Tan t = y/x, x can't = 0 Csc t = 1/y, y can't = 0 Sec t = 1/x, x can't = 0 Cot t = x/y, y can't = o

Degrees to Radians

degree x pi radians/180

Radians to Degrees

radian x 180/pi radians

Pythagorean Identities

sin^2 + cos^2 = 1 1 + tan^2 = sec^2 1 + cot^2 = csc^2

Quotient Identities

tan t = sin t/cos t cot t = cos t/sin t