Use de Moivre's Theorem to find the following. Write your answer in standard form [3(cos+ i sin )]³

Q: 1. Convert radians/degrees and find the coterminal angles between 0-360° or 0-2π radians. a) 13π/6…

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Q: For sin 3x + sin x = = 0, use a sum-to-product formula to simplify the equation and then find all…

A: Known fact:

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Q: Use trigonometric identities to solve the equation in the interval [0, 2л). 4 cos ²0+6 sin 0-6=0

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Q: 3. Let D cos(0) sin(0) [-sin(0) cos(0)] Calculate DTD and simplify as much as possible.

A: Let .To calculate   and to simplify as much as possible.

Q: Solve 2 cos²(x) - cos(x) cos(x) - 3=0 for all solutions. X = where Select an answer Select an answer…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Prove the identity. (sin(x) + cos(x))² = 1 + sin(2x)

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Q: Determine the values of ? if −pi ≤ (theta) ≤ 4pi given that sin (theta) = −0.05

A: Consider the equation

Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c.…

A: Given: To Find: To find the exact value of each of the following.

Q: Write an equation for the hyperbola with center (5,-8), focus at (8,-8), and vertex at (7,-8)

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Q: Solve for x in the interval [0,27]. Make any necessary substitutions using identities. Keep answers…

A: The given equation is,Substitute

Q: Use the figure and write the vector in terms of the other two vectors. v=

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Q: Watch the video and then solve the problem given below. Click here to watch the video. The function…

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Q: Use the fundamental identities and appropriate algebraic operations to simplify each expression. tan…

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Q: Convert Polar equation 4r cos(theta) + r sin(theta) = 8 to retangular

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Q: K Solve the equation for x, where x is restricted to the given interval. (- y = - 1+2tan x. for x in…

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Q: Write an equation for the parabola with focus (-1,2) and vertex (3,2).

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Q: 16. Which quadrant does each point belong to? a) (2/5, -3) b) (-1, -3/5) c) (5,0) d) (-0.73, 0.5) e)…

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Q: Solving the following equation will require you to use the quadratic formula. Solve the equation for…

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Q: A 65° 30⁰° B Example 1 Use the parallelogram rule to find the magnitude and direction of the…

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Q: Problem 2: Determine the lengths x (adjacent side) and y (opposite side) to 3 decimal places of the…

A: To determine the lengths x (adjacent side) and y (opposite side) to 3 decimalplaces of the triangles…

Q: Matrix A has 3 rows & 2 Columns Matrix B has 2 rows & 3 colums Matrix C has 2 rows by 2 colums.…

A: Matrix A has 3 rows and 2 coloumn Matrix B has 2 rows and 3 coloumn Matrix C has 2 rows and 2…

Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c.…

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Q: Find a constant k so that 4x is identically equal to 3k^x

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Q: A river runs west to east. A tree stands on the edge of one bank of the river and a man standing…

A: Let h be the height of tree and x be width of riverThe figure

Q: Using the Law of Sines to solve the triangle if ZA = 43°, ZC = 67°, b = 12: LB is degrees; a= C= You…

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Q: cos (arcsin+arccos √√3 2

A: Use the formula:

Q: Find a correct to 2 decimal places. NOTE: The triangle is NOT drawn to scale. X = Y 33° 98 38°

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Q: A person jogs 780 meters south and then 360 meters west. What is the direction of the person's…

A: A person jogs 780 meters south and then 360 meters west. To find the direction of the person's…

Q: -6 -5 4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 -6 2 3 5 3 6

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Q: You want to buy a triangular lot measuring 510 yards by 850 yards by 1150 yards. The price of the…

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Q: If 0 = -11T 6 sec (0) equals csc (8) equals tan(0) equals cot (0) equals then find exact values for…

A: Consider the thetahs

Q: (a) Find sin 20, cos 20, and tan 20. (b) Use a calculator to support your results. 17. cos 0 = and…

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Q: Find all solutions to the following triangle. (Round your answers for angles A, C, A', and C' to the…

A: B = 119°, b = 0.69 cm, a = 0.99 cm

Q: Average Temperatures Let the monthly average high temperature y in degrees Fahrenheit at a location…

A: Solution-Y=15sin(π/6(x-4))+60

Q: 2. The measures of two sides of a triangle and the angle opposite one of them are given. Solve all…

A: Note:-Since you asked multiple questions, according ti our policy we can answer only first question…

Q: If cos(?) = − 3/7 and ? is in Quadrant III, find tan(?) cot(?) + csc(?).

A: If cos(?) = − 3/7 and ? is in Quadrant III, find tan(?) cot(?) + csc(?).

Q: Please explain how to sketch the graph of y = sin^-1(cosx) and y=cos^-1(cosx)

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Q: An equation of an ellipse is given. 9x² + 25y² - 50y = 200 (a) Find the center, vertices, and foci…

A: An equation of an ellipse is given9x2+25y2−50y=2009x2+25(y2−2y+1)=2259x2+25(y−1)2=225x225+(y−1)29=1

Q: 4. Sketch a graph of the hyperbola: (y + 1)² (x-3)² 25 36 = 1

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Q: Let a=<1,-3,5> and b=<-4,-3,k> find k so that a and b will be orthogonal (form a 90…

A: The objective of this question is to find the value of 'k' such that the vectors 'a' and 'b' are…

Q: If sinA=4/5 and cosB= -5/13, where A belongs to QI and B belongs to QIII, then find sin(A+B). How do…

A: Given that Where A in quadrant 1 and B in quadrant III

Q: Let θ be an angle such that cotθ = −3/2 and secθ < 0. Find the exact values of tan ⁡ θ and sec ⁡ θ.

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Q: . Suppose g'(x) > 0 and g"(x) > 0 for all real numbers x. Sketch a possible graph of f(x) =…

A: Given that  and  for all real numbers of .The aim is to sketch a possible graph of .

Q: 4. Find the magnitude and direction angle (to the nearest tenth) of the vector (-7,24). Sketch a…

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Q: An equation of a parabola is given. (y + 3)² = 28(x – 5)

A: An equation of a parabola is given(y+3)2=28(x−5)

Q: 3) Consider the right triangle and find x: 6 X 5

A: Let,hypotenuse  : c = 6perpendicular  : a = 5base : b = x

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: 8. A man standing 20 ft away from the foot of a tower looks at the top with an angle of elevation of…

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Q: Find the exact values for the six trigonometric functions of the angle 0. ... 60 0 11 sin 8=…

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