Flashcards

MTH108 - 5.3/5.4

Bob Harold Inglês 14 flashcards

Flashcards do conjunto (14)

1Definition of the Trigonometric Functions of Real Numbers 1
2Definition of the Trigonometric Functions of Real Numbers 2
3Definition of the Trigonometric Functions in Terms of a Unit Circle
4A point P(x, y) is shown on the unit circle U corresponding to a real number t. Find the values of the trigonometric functions at t. Assume a(x) = −3/5, b(y) = 4/5
5—
6Finding Special Values of the Trigonometric Functionst=0(2π) ; x=1 y=0
t=π/4 ; x=sqrt2/2 y=sqrt2/2
t=π/2 ; x=0 y=1
t=3π/4 ; x=-sqrt2/2 y=sqrt2/2
t=π ; x= -1 y=0
7Let P be the point on the unit circle U that corresponds to t. Find the coordinates of P and the exact values of the trigonometric functions of t, whenever possible. (If an answer is undefined, enter UNDEFINED t = 2t = 2π
8t = any#π/ 4sqrt2/2 = x and y if angle not 0,90,180,270, or 360 (x or y might be negative or positive depending on quadrant)
9Use a formula for negatives to find the exact value. (a) sin(−90°) (b) cos − 5π/4 (c) tan(−225°)
10Use of Formulas for Negatives›
11find reference angles
125.4 - STEP 1 Find the exact value. (a)cot 2/3 π (b) cot − 3/4 π
135.4 - STEP 2 Find the exact value. (a)cot 2/3 π (b) cot − 3/4 π
14trigonometric identities