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Math 1310 - 5.3 Solving Trigonometric Equations
Trigonometry and conics (math 1310), the university of texas at el paso, recommended for you, students also viewed.
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Fill in the blank., when solving a trigonometric equation, the preliminary goal is to isolate the trigonometric function on one side of the equation., the general solution of the equation is and where n is an integer., the equation is a trigonometric equation of quadratic type., a solution of an equation that does not satisfy the original equation is an extraneous solution., 2 sin(𝜃) + 1 = 0 𝜃 = 7 𝜋+ 2 n𝜋, 𝜃 = 11 𝜋+ 2 n𝜋,, 2 tan 2 (x) − 3 tan(x) + 1 = 0, 1. [1/1 points] details previous answers larpcalc10 5.3. my notes ask your teacher, 2. [1/1 points] details previous answers larpcalc10 5.3. my notes ask your teacher, 3. [1/1 points] details previous answers larpcalc10 5.3. my notes ask your teacher, 4. [1/1 points] details previous answers larpcalc10 5.3. my notes ask your teacher, verify that each x-value is a solution of the equation., 5 sec(x) − 10 = 0, 5 sec − 10 =, 2 cos 2 ( 8 x) − 1 = 0, 2 cos 2 8 − 1 = 2 cos 2 − 1, 5. [1/1 points] details previous answers larpcalc10 5.3., my notes ask your teacher practice another, 6. [1/1 points] details previous answers larpcalc10 5.3., this question has several parts that must be completed sequentially. if you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to, come back to the skipped part., tutorial exercise, solve the equation. (enter your answers as a comma-separated list. use n as an integer constant. enter your response in radians.), sin x(sin x + 1) = 0, set each factor equal to zero., $$sin 2 x+sin(x), = 0 or sin x + 1 = 0, $$sinx(sinx+1), = 0 or sin x = 2., find all solutions of the equation in the interval [0, 2 𝜋). (enter your answers as a comma-separated list. if there is no solution, enter no solution.), 6 sec(x) csc(x) = 12 csc(x), $$π3+2πn, 5 π3+2πn, 9 cos x + 9 sin x tan x = 18, $$π3, 5 π 3, 8. [0/1 points] details previous answers larpcalc10 5.3.019.mi. my notes ask your teacher, 9. [1/1 points] details previous answers larpcalc10 5.3., 10. [1/1 points] details previous answers larpcalc10 5.3., find all solutions of the equation in the interval [0, 2 𝜋)., this equation contains both sine and cosine functions. rewrite the equation using the pythagorean identity, so that it has only cosine functions., solve the multiple-angle equation. (enter your answers as a comma-separated list. use n as an integer constant. enter your response in radians.), 12 sin 2 x = 12 − 6 cos x, 12 1 − (no response) = 12 − 6 cos x, (no response) = 12 − 6 cos x, 8 sec x + 8 tan x = 8, tan 4 x − 1 = 0, 11. [–/1 points] details larpcalc10 5.3.031.mi. my notes ask your teacher practice another, 12. [1/1 points] details previous answers larpcalc10 5.3., 13. [1/1 points] details previous answers larpcalc10 5.3., use a graphing utility to approximate (to three decimal places) the solutions of the equation in the interval [0, 2 𝜋). (enter your answers as a comma-separated list.), use inverse functions where needed to nd all solutions of the equation in the interval [0, 2 𝜋)., begin by treating the given equation as a quadratic in and factor., set each factor equal to zero. use the inverse tangent function to obtain the solutions in the interval (enter your answers as a comma-separated list.), csc 2 (x) − 5 = 0, tan 2 x − 8 tan x − 9 = 0, tan x + 1 = 0 or tan x − 9 = 0, tan x = −1 or tan x = 9, $$3π4+πn,1+πn, 17. [1/1 points] details previous answers larpcalc10 5.3., 18. [0/1 points] details previous answers was larpcalc10 5.3.060.mi., use the quadratic formula to nd all solutions of the equation in the interval [0, 2 𝜋). (enter your answers as a comma-separated list. round each answer to four decimal, sec 2 (x) + 6 sec(x) − 16 = 0, $$2πn+π3,2πn+cos−1(−18),2πn−cos−1(−18),2πn+5π 3, 12 sin 2 (x) − 13 sin(x) + 3 = 0, 4 cos 2 (x) − 4 cos(x) − 1 = 0, 19. [1/1 points] details previous answers larpcalc10 5.3., 20. [1/1 points] details previous answers larpcalc10 5.3., 21. [1/1 points] details previous answers larpcalc10 5.3. my notes ask your teacher, the displacement from equilibrium of a weight oscillating on the end of a spring is given by, where y is the displacement (in feet) and t is the time (in seconds). use a graphing utility to graph the displacement function for 0 ≤ t ≤ 10. find the time beyond which the, distance between the weight and equilibrium does not exceed 0 ft. (round your answer to 2 decimal places.), the monthly sales s (in hundreds of units) of skiing equipment at a sports store are approximated by, where t is the time (in months), with t = 1 corresponding to january. determine the months in which sales exceed 7500 units. (select all that apply.), y = 1 e−0 cos(4), s = 58 + 34 cos 𝜋t, 24. [0/1 points] details previous answers larpcalc10 5.3., 25. [1/1 points] details previous answers larpcalc10 5.3., a baseball is hit at an angle of 𝜃 with the horizontal and with an initial velocity of feet per second. an outelder catches the ball 300 feet from home plate (see, gure). find 𝜃 when the range r of a projectile is given by (enter your answers as a comma-separated list. round your answers to one decimal place.), the area of a rectangle (see gure) inscribed in one arc of the graph of is given by, (a) use a graphing utility to graph the area function, and approximate the area of the largest inscribed rectangle. (round your answer to two decimal places.), a = (no response), (b) determine the values of x for which a ≥ 0. (round your answers to two decimal places.), (no response) < x < (no response), r = 321 v 02 sin 2 𝜃., a = 2 x cos x, 0 < x < 𝜋/2., 26. [0/1 points] details previous answers larpcalc10 5.3., 27. [–/1 points] details larpcalc10 5.3. my notes ask your teacher practice another, find the smallest positive xed point of the function f. [a xed point of a function f is a real number c such that, the xed point of a function f is a real number c such that in this case, we can say that the xed point of the function is the point of intersection of the, line and the function sketch the graph of and y = x in the same viewing window and locate the point of intersection., from the graph, we can conclude that the xed point of is as follows. (round your answer to three decimal places.), you have now completed the master it., f(x) = −cos x, f(c) = c. f(x) = −cos x, y = x f(x) = −cos x. y = −cos x, 29. [1/1 points] details previous answers larpcalc10 5.3.098.mi..
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Course : Trigonometry and Conics (MATH 1310)
University : the university of texas at el paso.
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