HOW TO MEASURE IN BOTH DEGREES &RADIANS An angle is an opening of a circle measuredin degrees & a radian is a measurementthat is equal to the length of the radiuswhich is the same as the arc length. Everyangle is equal to a radian. Multiplying anyradian by 180/∏
SINE AND COSINE Sine and cosine are the x and y values of the unitcircle Every angle, radian or degree has a corresponding(x,y) coordinate on the unit circle
SINE AND COSINE The sine graph begins at the origin, the cosinegraph begins at 1
SOLVING FOR SINE AND COSINE Solving for sine and cosine, you need and angleand the hypotenuse Plugging in what you know, can solve for othersides and angles. Using the Pythagorean theorem and the Law ofCosines and the Law of Sines, inverse cosine andinverse sine may also help
UNIT 2 F(x)= a sin (bx+c)+d F(x)= a cos (bx+c)+d The frequency of the graphs is the number ofwaves per minute The period is the duration of a wave The amplitude is the height (y-axis) a wave goes
UNIT 2 A phase shift refers to a horizontal or verticaltranslation according to the equation. The phaseshift is defined by c (F(x)= a sin (bx+c)+d ) . If c isnegative the graph shifts over to the right, if it ispositve it shifts to the left. The image below shows the shift of a cosine graphstarting from one to zero, also the period of eachwave decreases creating moreWaves within one period.
UNIT 2 Inverse sin-1 / arcsine Inverse cos-1 / arccosine Inverse tan-1 / arctangent The inverse and the arc finds the measurement ofthe angle Example :cos150° 150° is equal to 5/6giving the angle a coordinateof (-√3/2, ½) Cosine is equal to x , sineis equal to y Therefore, cos150° is -√3/2