Consider the following trigonometric function: 2(tan(x)+3) = 5+tan(x) , 0 is less than or equal to...

Question

Question

Consider the following trigonometric function:

2(tan(x)+3) = 5+tan(x) , 0 is less than or equal to x and x < 2pi

1) use substitution to isolate tan(x) on a side by itself

2) Find all solutions to this equation

Answer 1

Answer #1

trigonewstrie funchan hes butwein nterval Draw graph 3T 2 ta 17 on two ponts 1

Answer 2

Similar Homework Help Questions

SELECT ALL APPLICABLE CHOICES A) the identity Consider the following trigonometric equation 2 sin(a) 3 2...

SELECT ALL APPLICABLE CHOICES A) the identity Consider the following trigonometric equation 2 sin(a) 3 2 cos(x) +1 2 B) the substitution cosº (x) = 1 - sin (1) t=tan() In this equation assume x lies between 0 and 90 degrees. oh and a hint: maybe leave this one for last is helpful in solving this equation is helpful in solving this equation C) < 60° is the only solution in the 0 < x < 90 deg range D)...
5. Make the trigonometric substitution r=a sec for 0 < < x/2 and a > 0....

5. Make the trigonometric substitution r=a sec for 0 < < x/2 and a > 0. Use fundamental identities to simplify the resulting expression. You must show your work for credit! a. a' sec' etane b. 1 a cosecote 1 sin cos e a d. a tane e. c 1 cosa 6. Select all statements below that are true about the following equation: sect- a. The equation is not an identity because the equation is false when t b. The...
e tan 15° 12. Answer True or False for each of the following. If the statement...

e tan 15° 12. Answer True or False for each of the following. If the statement is false, make ne necessary change(s) to produce a true statement: a. The angle 0 =is larger than 90°. b. sin 45° + cos 45º = 1 C. Trigonometric functions can only be undefined at quadrantal angles. d. sin(30) = 3 sin e e tan 45º = 3 f. The value of trigonometric ratios (sine, cosine, tangent) depend only on the size of ,...

Find k so that the following function is continuous on any interval: f(x)= kx 0 (less than or equal to) x (less than) 2 3x^2 2 (less than or equal to x) i know the answer is 12 but i don't know how to arrive at that

Find k so that the following function is continuous on any interval:f(x)= kx 0 (less than or equal to) x (less than) 23x^22 (less than or equal to x)i know the answer is 12 but i don't know how to arrive at that. could you please walk me through the steps? thanks.
Solve the equation if 0 is less than or equal to x and x is less...

Solve the equation if 0 is less than or equal to x and x is less than 2 pie 2sin^2x+3 cos x -3 0
Find all exact solutions on (0, 22). (Enter your answers as a comma-separated list.) tan(x) =...

Find all exact solutions on (0, 22). (Enter your answers as a comma-separated list.) tan(x) = tan(x) Additional Materials 27. -12 points OSPreCalc 1 7.5.300. Use a calculator to find all solutions to four decimal places. (Let k represent an arbitrary integer. Round your answers to four decin cos(x) = 0.53 2k (solution with the terminal side of x in the first quadrant) + 20k (solution with the terminal side of x in the fourth quadrant) Additional Materials eBook Solving...

Use trigonometric identities to solve each equation in the interval [0, 21] c?x-2 = tan 2x...

Use trigonometric identities to solve each equation in the interval [0, 21] c?x-2 = tan 2x TT OA. 3 OB. 6 OC. 4 OD.
question 47 and 48 please. Thanks 43. tan” x - 2 tan x = 0 44....

question 47 and 48 please. Thanks 43. tan” x - 2 tan x = 0 44. 2 tan” x - 3 tan x = -1 45. tan- 0 + tan 0 - 6 = 0 46. sec? x + 6 tan x + 4 = 0 2.4 Evaluating Trigonometric Functions in Exercises 47-50, find the exact values of the sine, cosine and tangent of the angle. 47. 75º = 120° - 45° 48. 375º = 135° + 240° 402511 -...
1. Find all solutions to this trigonometric equation. Use radians. sin(3z-.15) 9128 2. Find all solutions...

1. Find all solutions to this trigonometric equation. Use radians. sin(3z-.15) 9128 2. Find all solutions to this trigonometric equation. Use radians or degrees, your choice. tan (2r)-10 3tan(2r) 3. Solve the triangle whose three sides have lengths a 4, 8, c =11. a- 4 c 11 4. Solve the triangle where one angle α 30°, the opposite side 4, and one of the other sides is 7 (make it b). a α 300 b=7

Find all solutions of the equation in the interval [0, 2π). tan"X-2 sec x =-1 write...

Find all solutions of the equation in the interval [0, 2π). tan"X-2 sec x =-1 write your answer in radians in terms of π. If there is more than one solution, separate them with commas. Find all solutions of the equation in the interval [0, 2π). 2sin-10 Write your answer in radians in terms of t If there is more than one solution, separate them with commas.