Use de Moivre's Theorem to find the following. Write your answer in standard form. [2(cos 15° + i sin 15°)]4

Q: cot + tan 2 csc (20).

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A: Solving the problem.

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Q: 2) Given the following right triangle; 1 18 B 5 a) What is cosine(B)? 5 b) What is tangent (B) ? c)…

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Q: Solve: cos(x) + 1 = sin(x) in the interval [0,2π).

A: The given equation is cos x+1=sin x  ; [0,2π)

Q: Given r = 6i − 7j and s = −7i + 4j, what is r + s?  a 13i − 11j  b −13i + 11j  c i + 3j  d −i −…

A: given,  r=6i-7j  and  s=-7i+4j

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Q: Given the following Equation ¹(x) + 1 y = 2 tan

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Q: 3. Use trigonometric identities and algebra to find exact solutions tan(x + 7)- cos x + = = 0. Give…

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Q: What is tan(A)? A 3 A √5 2 tan(A) [?]√[ ] nt: Remember to rationalize the denominato =

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Q: If sin A=0.5000, what is angle A in decimal degrees rounded to the nearest minute?

A: Given sinA=0.5

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Q: 1. Solve the right triangle using the information given. Round answers to two decimal places, if…

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Q: From a centerpunched starting point on a sheet of steel, a horizontal line segment 30.20 centimeters…

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A: We need to determine the value of angle A that corresponds to tan A=6.0840

Q: 1. From a point on the ground 500 ft from the base of a building, an observer fi of elevation to the…

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Q: Match each angle with its corresponding reference angle. 11x 22 N 28 T 9 -23 N 12 -71 12 a. b. C. d.…

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Q: Evaluate the the following tan 7π 12 1 + tan √3 3 O-√3 √√3 7TT 12 √3+2 2 tan tan 5TT 4 5T 4

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Q: Match each angle on the left with its corresponding refer- ence angle on the right. Unit Circle (24)…

A: Unit circle

Q: 14. (1+cot² x) dx

A: We need to evaluate the integral    I=∫(1+cot2x)dx

Q: Q.11 Calculate the area of a triangle with: a = 8, b = 12 and an included angle of 78 °. 46,95…

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Q: A function is given. h(t) = t2 + 4t; t = −1, t = 1 a. determine the net change between the given…

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Q: Graph f(θ) = sin(πθ) where -2 ≤ θ ≤ 2. State the period of the function

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Q: Solve the following trigonometric equation in the given range. 4 sin 20 + 3 cos 20 = 0, where 180°…

A: Given that a trigonometry equation - 4sin(2θ) + 3cos(2θ) =0. We find value of θ, use interval 180°…

Q: Solve the following equation for all radian solutions and if 0 st <2. Give all answers as exact…

A: NOTE: Refresh your page if you can't see any equations. .

Q: The measures of the angles of the triangle are indicated in terms of x. Find the measure of angle A.

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Q: Graph the system of linear inequalities. 6x - 2y ≤ 0 2x + 6y≤ 12 Use the graphing tool to graph the…

A: Consider the system of inequalities

Q: gft. 3) Given the following 4ft. by 8ft. billard table, what angle should the perso. strike the…

A: Given a 4ft by 8ft billiard table. We need to find the angle(θ) by which the person should strike…

Q: a) Are these triangles similar? Explain 90 136 117 160 b) 300 90° 450 90%

A: Similar triangle have equal proportional sides and corresponding angles

Q: Calculate the following limit (a) lim x→2 x²+4x-12 |x-2| √x-3 X-9 X-9 (b) lim

A: limx→2x2+4x-12x-2  x-2=x-2,    x≥2-x-2, x&lt;2

Q: a) Use the two triangles and the given value of x to find the value of their opposite sides. b) How…

A: tanθ = perpendicularbase  Given x is the base of the triangles  Given x = 350 ft  Given angle of…

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Q: 23.1-1+1-ash a ban:

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Q: Given u = −3i + 5j and v = −24i + 40j, are u and v parallel or orthogonal? Explain.  a The vectors…

A: Given vectors u=-3i+5j and v=-24i+40j. To determine whether the vectors u and v are parallel or…

Q: 6. (sin x-cos x) dx

A: Given integral  6. ∫( sinx - cosx )dx

Q: tan (x + pi/4) = −root 3.  Also solve for n = 0, n =1, n = -1, n = 2, n = -2

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Q: The graph below shows at least one complete cycle of the graph of a trigonometric function. Find an…

A: Given that the graph below shows at least one complete cycle of the graph of a trigonometric…

Q: Use the definition or identities to find the exact value of each of the remaining five trigonometric…

A: By using the definition or identities to find the exact value of each of the  remaining five…

Q: A boat is anchored offshore. From the bow of the boat, 37 ft of anchor line is out with 5 ft of line…

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Q: Consider the partial graph of a transformed sinusoidal curve with a domain of x ¤ R. 12: ™ 10: 81 0…

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Q: 4.20 m 100.0⁰ LL * 3.00 m RADIUS 7.00 m 4.20 m

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Q: The force acting on the handle is 30 N at an angle of 0 = 40°. How much work is done if the traveler…

A: Force acting on the handle, F= 30 NAngle with displacement direction, θ=40°The traveler moves 120…

Q: B(w, x) C(20, v) HT 13V2/45° F(s, 0) E(y, 0) A(0, 0) 30° D(z, 0) Find the value of z. DO NOT PROVIDE…

A: We are required to: Find the value of z.

Q: Find ALL triangles with α = 30°, a = 8 and c = 12.

A: To solve the following

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A: We find metrics representation of given data

Q: 15. n-1 Σ(3) 1

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Q: Find the endpoints of the latus rectum of the parabola below. Select the correct answer below: (x +…

A: NOTE: Refresh your page if you can't see any equations. . the given parabola is  compare this…