Evaluate the following and express in a + bi form. Do not use trig functions in your answer. (1 + 2i) 4= = You can use a calculator to evaluate trig functions and their inverses, but you should otherwise compute this by hand.

Q: For v = (3,4) and w* = (-6, -8) Find: a. v.w b. The angle 0 (in degrees) between vand w*

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Q: Solve for the remaining side(s) and angle(s), if possible, using any appropriate technique. a = 63°,…

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Q: 7. V Use the parallelogram rule to find the magnitude and direction of the resultant of the two…

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Q: Solve for the exact solutions in the interval [0, 27). List your answers separated by a comma, if it…

A: Sin(x/2)=Cos(x/2)

Q: Plot the points with polar coordinates (2, 1) and (-4,-2) using the pencil. 210 210 216 Film E

A: Consider the polar coordinates

Q: 21. Evaluate the following using the unit circle. Make sure to sketch the angle in show your work…

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Q: 19. Find the amplitude of each trig function below:19a. 2 sin(3x), 19b. 3 cos(5x), 19c. −7 cos(4x)

A: The objective of this question is to find the amplitude of the given trigonometric functions. The…

Q: Consider the following. 409x² + 576xy + 241y² = 625 (a) Use the discriminant to determine whether…

A: The equation is given as,

Q: Eliminate the parameter t from the following. x = 2 cos t − 4, y = 2 sin t + 2 and then Eliminate…

A: The given parametric equations are

Q: Decide whether the expression is or is not an identity. (sin²x + cos²x) = 1 a. Identity b. Not an…

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Q: 9. Angle z is located in the second quadrant and angle cos y = 13. Determine an exact value for: (a)…

A: You want only the answer for the question As mentioned  is in the second quadrant so  will be…

Q: 18 sc (sin-¹ 16) 30 CSC

A: to find the exact value of

Q: Simplify the trigonometric expression. sin(x) csc(x) + cot(x) 16 sec²x X

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Q: Find all degree solutions for the following. (Enter your answers as a comma-separated list. Let k be…

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Q: Calculate (1-21)7. Give your answer in a + bi form

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Q: What are the horizontal and vertical components of this vector? ([?], V = 10 55° Round to the…

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Q: Convert the rectangular equation to a polar equation that expresses r in terms of a. b. x² + (y −…

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Q: 15° 16 O 3 Oc²=a² +6² X = O cos C = sin A a a² + l 20 sin B b How many solutions? Sh

A: Given: To Find: To determine the formula used to solve angle .To determine the number of…

Q: For y = - 7 cos (1/3 X its amplitude is its period is Use radians and use pi for T. ;

A: y=-7cos(x/5)

Q: A light aircraft was traveling 108 miles per hour straight and level when the pilot measured a…

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Q: 2. Sketch the ellipse and list its domain and range. (x-4)² (y +2)² + 4 = 1 3. Write an equation for…

A: Domain of ellipse = Range of ellipse =

Q: arcsin (sin (=)) = [ 9

A: To find the value of the following composite function.

Q: A 110-foot vertical tower is to be erected on the side of a hill that makes a 6° angle with the…

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Q: blade on a typical table saw rotates at 3600 revolutions per minute. Calculate the linear velocity…

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Q: Use the vectors in the figure at the right to graph the following vector. 2v +u-3w Select the figure…

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Q: 9. A committee is formed consisting of one representative from each of the 50 states in the United…

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Q: Find the exact value of the expression using the provided in formation. Find cos(s+t) given that cos…

A: To find the exact value of the expression  given that , with  in quadrant I and  with  in quadrant…

Q: ind the first four terms and the 100th term of the sequence whose nth term is given. an = (=1)"

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Q: A man who is located west of a radio station observes that his elevation angle is 45°. Walk 50 m to…

A: The figure

Q: Solve the inequality to two decimal places where 0 ≤ ? ≤ 2?, 4 cos(?) + 2 > pi

A: The objective of the question is to find the values of x that satisfy the inequality 4 cos(x) + 2…

Q: t 5) Find a value of 0 in the interval 0° ≤ 0 < 360° that satisfies the equation sin² 0 - sin 0 - 2…

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Q: Trigonometry (2.9): 12. Use the given right triangle to find ratios, in reduced form, for: sin A cos…

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Q: Which ordered pair is equivalent to (8, -40°)? Choose all that apply.

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Q: Prove the identity: 2 2 sec²x - 2 tan x 2 CS<x Sin 2x seex

A: sec2x - tan2x = 1 sinx = 1/cscx cosx = 1/secx 2sinx cosx  = sin2x

Q: 1. A flagpole is situated at the top of a building 115 ft tall. From a point, P, in the same…

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Q: Find all solutions of the equation 2 cos x 1 = 0 on 0 ≤ x < 2π The answers are A and B, where A < B…

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Q: Sin(x)+sin(2x)+sin(3x)

A: We have to simplify the given trigonometric problem.Given -As we know that-

Q: cos (arcsin+arccos √√3 2

A: Use the formula:

Q: Station Cut End Area (ft2) 10+00 240 11+00 362 12+00 443 13+00 406…

A: The objective of this question is to calculate the volume of excavation between stations 10+00 and…

Q: Determine the amplitude, period, and phase shift of the function f(x) = 3 cos (2x-). Then graph one…

A: The given function is

Q: 5. Write the given vector in the form (a, b). Give exact values for a and b. 0 -60° Kar

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Q: It is 58 road miles from Denver to the Eisenhower tunnel. Denver is 5882 ft above sea level. The…

A: The distance between Denver to the Eisenhower Tunnel is 58 milesDenver is 5882 ft above mean sea…

Q: Prove (verify) the following identities in problems 5 and 6. Show that the left side and the right…

A: 5. 6.

Q: Determine the equation of the given conic in XY-coordinates when the coordinate axes are rotated…

A: we have given equation of conic

Q: Solve the triangle. b = 7, c=6, A= 50°

A: solve trianglesb=7 ,c=6, A=50oa=8, b=2, C=160oa=9, b=10, C=50o

Q: Q2. A man sitting at a height of 40 m on a tall tree on a small island in the middle of a river…

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Q: 6. Use the parallelogram rule to find the length of the resultant vector. Round your answer to the…

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Q: For sin 2x + cos x = 0, use a double-angle or half-angle formula to simplify the equation and then…

A: Let's solve the equation sin(2x)+cos(x)=0 using a double-angle formula. The double-angle formula for…

Q: 32. Use a half angle formula to find the exact solution of sin 22.5°. 21

A: *Note – As per our company guidelines we are supposed to answer only first question. Kindly repost…

Q: Find all solutions if 0 ≤ x < 2?. Use exact values only.  cos 2x = sqrt of 3 over 2

A: Consider the equation