Writing a Complex Number in StandardForm In Exercises 59–66, write thecomplex number in standard form.59. √−6√−2 60. √−5√−1061. (√−15)2 62. (√−75)263. √−8 + √−50 64. √−45 − √−565. (3 + √−5)(7 − √−10) 66. (2 − √−6)2

Q: Sketch the graphs of each of the following between x = -4p and x = 4p            y= cot x

A: We can graph y=cotx by observing the graph of the tangent function because these two functions are r...

Q: 2. Find the fif th termof the + Ap-2 sequence. an=nan-l foR defined by, a, =2 ag=ろ a 152 6) 162 O172...

A: Given, a1 = -2 a2 = 3  an = nan-1 +an-2                 for         n≥3 We have to find the fifth te...

Q: Let G(θ) = 3 sin θ. Graph G(θ) on [0, 2π]. Let y = G(θ) and solve for θ.Give the function of y you j...

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Q: Verify each of the following identities a.) cos(x)(tan(x)-sec(x))=sin(x)-1 b.) cos^2(x)-tan^2(x)=2-s...

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Q: Use your graphing calculator to graph each family of functions for - 2 pi <= x <= 2pi together...

A:   Definition used -       Graph of cosine function -                  Y = Acos(b(x-c))+d            ...

Q: Use a calculator to find u, to the nearest tenth of a degree, if 0 degree # u<=   theta <360 d...

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Q: Graph one complete cycle of each of the following. In each case, label the axes accurately.   y = - ...

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Q: Graph eachof the following from x = 0 to x = 4p.  y = 3+3 cos x

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Q: To subtract two complex numbers geometrically, first represent them as ________.

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Q: 5. What's a parameterized version of the curve given by y-3= x+ sin x? DA. y = -3t, x = y+ sin t OB....

A: Given that, y-3=x+sinx let x=t

Q: Determine if the triangles are congruent. If they are, state if they are congruent by SSS, SAS, ASA,...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

Q: Find two square roots for the complex number 100cis0. Leave answer in trigonometric form

A: Given: sqrt(100(cs0)

Q: The following problems refer to right triangle ABC with C = 90°. In each case, find all themissing p...

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Q: Finding the Area of a Triangle InExercises 37–44, find the area of the triangle.Round your answers t...

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Q: Find the area of the sector formed by the given central angle  theta in a circle of radius r.       ...

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Q: Johnstown Inclined Plane The JohnstownInclined Plane in Pennsylvania is one of the longestand steepe...

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Q: 13)-5+3tan 0 = -5 A) nn + 3. B) No solution. C) 3. D) Inn)

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Q: A function f is ________ on an interval when, for any x1 and x2 in the interval, x1 < x2 implies ...

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Q: Prove that each of the following identities is true.   cos x / 1+ sin x  + 1- sin x  / cos x  = 0

A: Given : cos x / 1+ sin x  + 1- sin x  / cos x  = 0   Taking LHS, = cos x / 1+ sin x  + 1- sin x  / c...

Q: Geometry Find the length of the sides of a regularhexagon inscribed in a circle of radius 25 inches.

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Q: Convert to polar coordinates with r >= 0 and 0° <=u <= 360°. . (-3, 3)

A: Given that point (x,y)=(-3,3).

Q: Convert to polar coordinates with r >= 0 and 0° <=u <= 360°. . (-3, -3)

A: (-3,-3)

Q: Suppose solving a trigonometric equation for solutions over the interval 30°, 360°2 leads to 3u = 18...

A: Given: 3u=180°,630°,720°,930° Determine the corresponding value of u. For 3u=180° 3u3=180°3u=60°

Q: Identify the period for each of the following. Do not sketch the graph.           y = sin 1/3 x

A: Given function - y = sin13xComparing this with the general equation of sin - y = Asin(kx)+bwhere,A =...

Q: Graph one complete cycle of each of the following. In each case, label the axes accuratelyand identi...

A: Given: y=12-cosx To find: Graph one complete cycle and identify the vertical translation.

Q: Find the exact value of each of the following.   tan 135  degree

A: We have to find the exact value of  tan135°   As we know, sin(90+θ)=cosθcos(90+θ)=-sinθ

Q: Hypatia is supervising the installation of an escalator at a new office building. The escalator will...

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Q: . Hourly Wage A manuscript translator charges astarting fee of $50 plus $2.50 per page translated. W...

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Q: Find the remaining trigonometric ratios of theta based on the given information. cosec theta = a and...

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Q: For the triangle, find the following. (Assume u = v = 17 and w = 27. Round your answers to one decim...

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Q: Writing When the radius of a circle increases andthe magnitude of a central angle is held constant, ...

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Q: 7) Given the Triangle below, identify the congruent sides and angles and then write a congruency sta...

A: Given: We can see from the given figure,    

Q: 6. In order to estimate the height of a volcano, a surveyor takes readings from two different locati...

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Q: 6) Prove the triangles are congruent.

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Q: Sketch the graph from x = 0 to x = 4p.         y = cos x + cos x/2

A: Given function is y=cosx+cosx2.  

Q: Change each of the following to decimal degrees. If rounding is necessary, round to thenearest hundr...

A: It is known that 1° is same as 60'. Apply this fact as follows.  

Q: use theentries in the table to sketch the graph of each function for x between 0 and 2pi   y = cos x

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Q: 9) Given the triangle congruency statement, name each corresponding side and angles. ΔΙΜΚ - ΔΟΡR

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Q: Writing a Complex Number inStandard Form In Exercises 27–36, writethe standard form of the complex n...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Determine if the statement is possible for some real number z.     tan pi/2 =z

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Q: Trigonometric Form of a Complex NumberIn Exercises 3–6, write the complex number intrigonometric for...

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want rem...

Q: Use a calculator to find the following. Round your answers to four decimal places.      sec 311. 7  ...

A: To find the value of sec311.7°. Solution: We know that, sec270°+θ=cscθ Therefore, given expression c...

Q: Trigonometry Question

A: To draw the curve using graphing device

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Q: Indicate the two quadrants theta could terminate in given the value of the trigonometric function. c...

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Q: Equality of Complex Numbers In Exercises 7–10,find real numbers a and b such that the equation is tr...

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Q: use theentries in the table to sketch the graph of each function for x between 0 and 2pi     y = sin...

A: to graph the given equation