5 Given a unit circle, the radius or hypotenuse = 1 Sine and Cosine
6 MEMORIZE THIS: The right angle is always on the x axis MEMORIZE THIS: The right angle is always on the x axis. The acute angle is always at the origin.MEMORIZE THIS TOO:The ordered pair of the point where the terminal side of the angle intersects the circle is (x, y) where cosine Ѳ = x and sine Ѳ = y.
17 Signs of the trig functions in the 4 quadrants Quadrant I = All (are positive)Quadrant II = Students (Sine & Cosecant are +)Quadrant I = Take (Tangent & Cotangent are +)Quadrant I = Calculus (Cosine & Secant are +)SATC
18 Use the unit circle to find the value for the six trigonometric functions for a 135° angle.
22 Consider an angle with a point on its terminating side of (5, -12) Consider an angle with a point on its terminating side of (5, -12). That would be in the 4th quadrant.
23 Find the values of the six trigonometric functions for an angle Ѳ in standard position if a point with the coordinates (-15,20) lies on its terminal side.
24 If you know the value of one of the trig If you know the value of one of the trig. functions and the quadrant in which the terminal side of Ѳ lies, you can find the values of the remaining 5 functions.
26 Suppose Ѳ is an angle in standard position whose terminal side lies in Quadrant IV. If Find the values of the five remaining functions of Ѳ.
27 Now try these on page 296 #1-13: Why is csc 1800 undefined?Show that the value of sin Ѳ increases from 00 to 900 and decreases from 900 toConfirm thatComplete the chart for the signs of the trig functions in each quadrant.FunctionQuadrant. IQuadrant. IIQuadrant. IIIQuadrant. IVSin α & Cos αCos α & Sec αTan α & Cos α
28 Use your unit circle to find the exact measure for each of the following. Tan 1800Sec -900Tan 450Cot 2700Tan 1350Csc 2700Tan 3600Sec 1800
29 Find the values of the six trig functions for an angle θ in standard position if a point with the given coordinates lies on its terminal side.(3,5)(-6,6)