Find the center and the radius of the circle with the equation x² + 12x + y² + 10 y − 164 = 0 Enter the center as an ordered pair (x, y). The center is The radius is Number Show your work and explain, in your own words, how you arrived at your answers.

Q: Question 6 Solve, if possible, the following equations for x, where 0 ≤ x ≤ 360: a) cosx-secx = 1 b)…

A: Note: Since there is a typing error in the interval 0≤x≤360, it shuld be written in degrees. So, we…

Q: Eliminate the parameter t from the following. x = cos t − 1, y = sin t + 5

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Q: Solve the following triangle using either the Law of Sines or the Law of Cosines. B=29°, C=74°, b=5…

A: Given,           B=29°, C=74°, b=5To find : Solve the following using either the Lawof Sines or the…

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Q: Simplify the expression to get a numerical value. cot x sec x sin x 01 00 O sec²8 0-1 A

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Q: Multiply the complex number with its complex conjugate  7+i

A: Given that the complex number 7+i  To find Multiply the complex number with its complex conjugate

Q: Solve the triangle. a=3, b=8, C= 150° (Round to two decimal places as needed.)

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Q: Graph the function f(x) = cos(x) + sin(x) by first graphing y = cos x and y = sin x on the same axes…

A: Table values of sinx x sin(x) 0 0 π4 12 π2 1 3π4 12 π 0 5π4 -12 3π2 -1 2π 0

Q: Solve the following triangle using either the Law of Sines or the Law of Cosines. b=2, c= 18, A= 64°…

A: solving the problem by finding the value of the triangle.

Q: 4 5 a. Find sin(a−b) 26. Given sin(a): and cos(b): with a and b both in the interval 3' b. Find…

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Q: Double Angle Formulas sin 20 = 2 sin cos cos 20 = cos² e-sin² e sin 20 tan 20- cos20 tan 20 - or - 2…

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Q: Solve for all 8 in the interval [0, 2+]. a. 7 sin(0) = 2 b. 2sin² (30) - 2 = 0 C. cos 20 + 6sin 8 =…

A: Given equations :- 7sinθ=2 2sin23θ-2=0 cos2θ+6sin2θ=4

Q: 12. Without a calculator, graph the trigonometric functions y = cos (x) and y = cos¹¹(x) on the…

A: According to question,Given Function,y = cos x andy = cos-1xWe have to graph both functions on the…

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Q: For triangle ABC with sides a, b, and c the Law of Cosines states the following.

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Q: Write the polar form of the rectangular equation. y = 2x-5 Assume that all variables represent…

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Q: Given the right triangle below, write an equation illustrating the Pythagorean Theorem. y

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Q: If sin(x) = 7, and is in quadrant II, determine the exact value of each of the following. Use…

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Q: Find the product 2₁22- 21 = 6 (cos 90° + i sin 90°) and 22₂ = 5 (cos 100° + i sin 100°)…

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Q: A ferris wheel is 15 meters in diameter and boarded from a platform that is 2 meters above the…

A: the function of ferry wheel h( t ) = A sin ( Bt + C ) + D A = amplitude D = midline B = period C =…

Q: hat is the value of tan if the terminal side of angle intersects the unit circle in the first…

A: Please see the below picture for detailed solution.

Q: Solve the equation on the interval [0,2π]. cosx - 4 cosx - 1=0 Example answer: {cos-1(2 - 3), pi -…

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Q: 4/ (b) Show that 2 sin 13 -= = sin-1 25

A: Trigonometric

Q: 12-5i

A: Given that the complex number number  12-5i  To find complex conjugate of the complex number

Q: ph the polar equation r = 4 cos(0). y 10p -10 -5 5 -5 5 - X 10 -10 -5 y 10 5 WebAssign Plot -10 5 10

A: Given query is to find the correct graph.

Q: Solve for x in the triangle. Round your answer to the nearest tenth. 14 27° X S

A: Solve for the x

Q: Rewrite sin(2tan-1 v/5) as an algebraic expression in v.

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Q: Us a power reducing formula to simplify 20sin²x. Write your answer as an equivalent expression that…

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

A: Given Equation:- sin2θ=22

Q: Question 10 Which of these represents y 2x² 20x + 53 in vertex form as well as the vertex of the…

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Q: solve in degrees, Find all solutions if 0° ≤ theta < 360°. Verify your answer graphically. (Enter…

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Q: Use the Law of Cosines to determine the indicated angle 9. (Assume a = = 136.5, b = 61.3, and c =…

A: A detailed solution is given below.

Q: Using a double-angle or half-angle formula to simplify the given expressions. (a) If cos² (38°) -…

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Q: An Ellipse Centered at the Origin In Exercises 13-20, find the standard form of the equation of the…

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Q: Highlight each graph below depicting the domain used to create each inverse trigonometric function.…

A: We ahve find domain of inverse trigonometric functions.

Q: Q#12 Please prove that cos(a-ß) cos(a+ß) = (cosa cos 6)²-(sina sin 6)²

A: To prove: cos(α-β)cos(α+β)=(cosαcosβ)2-(sinαsinβ)2

Q: Question 20 Which of these expressions are equal to - 2i ? Choose TWO that are correct. A B C D E (2…

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Q: Match each graph to its corresponding equation. WA HH- N y = 5 cos(x-2) +1 y 5 tan (a # y 3 cot(+1)…

A: We have to match each graph to its corresponding equation.

Q: 2) From a point at eye level with the base of the pedestal of the Statue of Liberty, an observer…

A: Consider

Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

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

Q: A ladder x feet long leans against a house and makes an angle 8 with the horizontal. The base of the…

A: Given query is to rewrite the formula of height using identity.

Q: exact solutions on [0, 2?).  (Enter your answers as a comma-separated list.) 2 sin(??) = 1

A: Given query is to find the solution of the function.

Q: Given 0 = 4T/3 radians is an angle in standard position find exact values: sin es COS= tano =…

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Q: Verify the identity -tan2 x = (tan2x + 1)cos2x - 1)

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Q: Give lengths to the nearest unit. Give measures of angles to the nearest ten minutes. 7) A…

A: As per bartleby guidelines we only give first question answer. Please repost for other parts.

Q: Write the rectangular form of the polar equation in general form. r+7 cos 0 0 Assume that all…

A: Given query is to find the rectangular form.

Q: Find an equation for the ellipse with foci (±3, 0) and vertices (±6, 0).

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Q: 1. [8 pts] Find the exact values of the six trigonometric functions of the angle shown in the…

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Q: Find all solutions in the interval 0° ≤ ? < 360°. If rounding is necessary, round to the nearest…

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Q: Q3. Use the Maclaurin expansion of er and the definitions sinh x = (e-ex)/2 and cosh x=(e¹ + e*)/2…

A: As we know that the Maclaurin's expansion of ex=1+x+x22!+x33!+···+xnn!+···