Find the trigonometric function value of angle A. 9) Find the amplibade of y 5) sin...
10 Find the trigonometric function value of angle e. 2 22) cos 0 = and o in quadrant IV 7 Find sin e 5 23) sin 0 -- and e in quadrant III Find sec .
Use the information given about the angle 8 to find the exact value of each trigonometric function tan = - 10, sin < 0 0 e e (a) sin (20) (b) cos (20) 2 (d) cos 2 (e) tan 20 (f) tan 2 (c) sin
Question 9 Find all solutions to the equation in the interval [0, 2n). sin 2x - sin 4x = 0 Your answer: O O 51 71 I, 31 111 z' ' ä 'ö' ' ő 31 1171 Oo, ma Clear answer Question 10 Find all solutions to the equation in the interval [0, 21). cos 4x - cos 2x = 0 Your answer: o o, 110 TT 51 71 31 6' 2' O No solution Clear answer Question 11 Rewrite...
O TRIGONOMETRIC IDENTITIES AND EQUATIONS Double-angle identities: Problem type 1 3 Find sin 2x, cos 2x, and tan 2x if sinx and x terminates in quadrant III. 10 . 0/0 sin 2x = X5 ? cos 2x tan 2x L
Find the derivative of the trigonometric function. y = sin((rex)5) y'(x) = ||
9. In cach triangle ABC, angle a. Find sind ife-9,0-6 is a right angle. Find the exact value of the trig function indicated. b esee c. sec @ 20 10. Evaluate the EXACT value in the correct domain for cach of the following 2. esc"(v2) c. tan" (13) d. arccos (0) e. see '(-1) II. Simplify the following using the trigonometric identities tan siny b. sin x+sin cotx c. sin (-0)uce 0 + cor(_o) une
3 12 3. If sin = and angle a terminates in the second quadrant and tan y = 5 and angle y 5 terminates in the first quadrant, then find the exact value of the following: A. cos(inty) B. sin(y - 3) C. tan-y) 7T COS." sin 4. Write each of the following as a single trigonometric function: TT A sin cos 12 12 tan-tany B 1 + tan 4 tany 5. Expand and simplify: sin ( x - 3...
given the equation of the function, find the requested information 3. y=5-2 sin Midline: Amplitude: Maximum: Minimum: Period: Phase shift: Domain: Range: 4. y = 4cos C) +3 Midline: Amplitude: Minimum: Maximum: Period: Phase shift: Domain: Range:
1. Find the largest possible domain and the range of the function f(x) = 210. x+1 2. Reduce the rational function 15x71x71, into partial fractions. (x+4)(3x-1)2 3. Find the general solutions of the trigonometric equation: 5 sin x – 12 cos x = 13.
Problem 3 (12 points) The curve with parametric equations (1 + 2 sin(9) cos(9), y-(1 + 2 sin(θ)) sin(0) is called a limacon and is shown in the figure below. -1 1. Find the point (x,y 2. Find the slope of the line that is tangent to the graph at θ-π/2. 3. Find the slope of the line that is tangent to the graph at (,y)-(1,0) ) that corresponds to θ-π/2. Problem 3 (12 points) The curve with parametric equations...