topic : More trigonometric equations

4. [011 Points] PREVIOUS ANSWERS SPRECALCT 7.5.008. Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 4 sin(26) 2 sin(6) : 0 X Submit Answer 5- [-11 Points] SPRECALC7 7.5.012. Solve the given equation. (Enter your answers as a commaiseparated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) tan(6) 7 3 C0t(3) = 0 7. [1/2 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 7.5.020.MI. An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 2 sin(30) - 1 = 0 (a) Find all solutions of the equation. 2nck 5x 2nck 0 : 18 3 '18 3 (b) Find the solutions in the interval [0, 27). 0 : X 8. [1/2 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 7.5.024. An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) tan () + v3 =0 (a) Find all solutions of the equation. 8 = 14 + 7nck 3 (b) Find the solutions in the interval [0, 2n). 8 = Submit Answer9. [1/2 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 7.5.026. An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) sec - = cos (a) Find all solutions of the equation. 0 = 2nck (b) Find the solutions in the interval [0, 27). 10. [1/2 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 7.5.029. An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 1 - 2 sin(0) = cos(20) (a) Find all solutions of the equation. 0 = nk, ~+ 2nck (b) Find the solutions in the interval [0, 2nt). 8 =12. [-/11 Points] DETAILS SPRECALC7 7.5.036. MY NOTES Consider the following. f(x) = sin(2x) + 1, g(x) = 2 sin(2x) + 1; [-2n, 2x] by [-1.5, 3.5] (a) Graph f and g in the given viewing rectangle. O O Find the intersection points graphically, rounded to two decimal places. (Order your answers from smallest to largest x.) (x, y ) = (Find the intersection points graphically, rounded to two decimal places. (Order your answers from smallest to largest x.) ( x , ) = (x, y ) = ( x , y ) = ( x , y ) = ( x, y ) = ( x, y ) = ( x , y ) = ( x, y ) = ( ( x , y ) = (b) Find the intersection points of f and g algebraically. Give exact answers. (Let k be any integer.) ( x, y ) = (13. [-/2 Points] DETAILS SPRECALC7 7.5.040. Use an Addition or Subtraction Formula to simplify the equation. cos(0) cos(20) + sin(0) sin(20) = V 2 Find all solutions in the interval [0, 27). (Enter your answers as a comma-separated list.) 14. [0/1 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 7.5.043.MI. Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 27). (Enter your answers as a comma-separated list.) sin(20) + sin(0) = 0 X Submit Answer 15. [0/1 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 7.5.048. Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 27). (Enter your answers as a comma-separated list.) 2 cos (0) = 2 - cos(20) 8 : X17. [0/1 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 7.5.063. Solve the given equation for x. [Hint: Let u = tan-1(x) and v = tan (2x). Solve the equation u + v = _ by taking the tangent of each side. ] tan-1(x) + tan-1(2x) = It X = X 18. [-/1 Points] DETAILS SPRECALC7 7.5.066. The displacement of a spring vibrating in damped harmonic motion is given by the following equation. Find the first four times when the spring is at its equilibrium position, y = 0, and starting at time t = 0. (Enter your answers as a comma-separated list.) y = 5 e-9 sin(2nt) 19. [-/2 Points] DETAILS SPRECALC7 7.5.067. In a certain city the number of hours of daylight on day & (where t is the number of days after January 1) is modeled by the function L(t) = 13 + 2.87 sin(2" (t - 80) ). 365 (a) Which days of the year have about 11 h of daylight? (Enter your answers as a comma-separated list.) (b) How many days of the year have more than 11 h of daylight?(x) - sin(2x) + 1, g(x) - 2 sin(2x) + 1; [-21, 20) by [-1.5, 3.5] (a) Graph f and g in the given viewing rectangle. Find the intersection points graphs om smallest to largest x.) (x, y) 100000000 (x , y ) (b) Find the intersection points of f and g alg newers. (Let k be any Integer.) (x. v) -(