1. Find the absolute value of the complex number z=2cis30

Q: Write the trigonometric form of the complex number. 6-6sqrt3i    (Let 0 ≤ ? < 2?.)

A: to write trigonometric form.

Q: Find the slope of the line passing through the pair of points. (If an answer is undefined, enter…

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Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = 13i − 4j, V = 2i +…

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Q: Membership warehouse clubs offer shoppers low prices, along with rewards of cash back on club…

A: Given y=100-0.04xwherey=yearly cost of membershipx=yearly amount of club purcases   We are required…

Q: Write the equation for the ellipse with major axis of length 34 and foci located at (0,8) and (0,…

A: To write the equation for the ellipse when major axis of length 34 and foci located at  0, 8 and 0,…

Q: Use the fundamental identities to fully simplify cos (-2) sin (-1) csc (-1). Enclose arguments of…

A: To simplify the expression cos-xsin-xcsc-x.   Use the trigonomtric identitities. (1). cscx=1sinx…

Q: Solve the following for 0, in radians, where 0 ≤ 0 < 2π. Round to the nearest hundredth. Provide…

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Q: . arccos X 2 2 arctan( 2 < x < 4 tion

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Q: Name: 3) csc cos cot 0 = sin 0 GOAL Period: Show your work on this side

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Q: K Let u = 6i-7j, and w=-i-5j. Find ||w-u. |||w-u|| (Type an exact answer, using radicals as needed.)

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Q: Solve the system of equations. 4x² + y² = 25 z+y=5 ordered pa

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Q: Use a calculator to help write the complex number in standard form. Round the numbers in your answer…

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Q: The graph of y = 4 sin(2x - 8л) + 2 has a horizontal shift of__________ and vertical shift of

A: The given function is y=4 sin2x-8π+2. We have to find its horizontal shift and vertical shift.

Q: 1. Find the exact values. No calculators allowed. a) sin(105°) b) tan (195⁰) c) cos

A: To find the values

Q: Polar-to-Rectangular Conversion In Exercises 19-26, plot the point given in polar coordinates and…

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Q: ction. f(x) = 2 arccos 2x

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Q: Find the remaining five trigonometic functions of 0. 12 5' cot 0= sin 8> 0 Complete the following…

A: Solution to find the remaining trigonometric function of the given problem is as follow .

Q: Determine the quadratic function whose graph is given below Q -10 (-3,-3 224 (0-12) O E The…

A: We are required to find the quadratic function of the graph shown in figure.

Q: Remember that rectangular form is z = a + bi and that polar form is z = r(cos 0 + i sin 0) Take…

A: Solution: To get the required answer, we simply multiply out the expression: 5.2(cos21°+i…

Q: 2. Determine an equation for the sine function below. Be sure to show how you arrived at your…

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Q: Watch the video and then solve the problem given below. Click here to watch the video. Out-of-pocket…

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Q: K Use the vector in the figure at the right to graph the following vector. 4v Select the figure with…

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Q: For x>0, differentiate the function g(x) defined by e9(x)= xe−8x The required derivative is g'(x) =…

A: As we know that, The logarithmic rule: If logby=x then bx=y The Power law: ddxxn=nxn-1 The Chain…

Q: If tan 0 = and 0 < 0 < sin , what is the value of ? O 2√5 5 √5 5 √5 5 T 2√5 5 2

A: To find the value of given trigonometric function.

Q: 1. Given that cos(a) = with 3 < a < 2, give an exact answer for the following: a. sin() = b. cos() =…

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Q: Sunbelt Paper Products makes conical paper cups by cutting a 2-in. circular piece of paper on the…

A: Answer is in step 2.

Q: If tan = 10/5, and if cos 0 <0, then sec = cos = sin 0 = 9. 1- 9.

A: according to bartleby guide line we do only first three parts of muttiparts given tanθ=105 and…

Q: Solve the following equation for on the interval [0, 27). 3√3tan (0)-8=-5 π List the angles…

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Q: If π << π, find all values of that satisfy the equation 3 tan² 0 = Select the correct answer below:…

A: To solve the equation 3tan2θ=33tanθ , if -π≤θ&lt;π.

Q: 10. Given the equation 2 sin (20) - 3 sin(0) = 0 find all the solution

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Q: Assuming A + B = 90° 1. tan A 1 csc A wherever B occurs, simplify to single function: 2 2. cos² A…

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Q: A hot-air balloon is floating above a straight road. To estimate their height above the ground, the…

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Q: Convert the given polar equation into a Cartesian equation. Provide your answer below: T = 7 sin 0…

A: to write Cartesian equation.

Q: The letters x and y represent rectangular coordinates. Write the equation using polar coordinates…

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Q: These are two similar triangles. What does x equal? 12 9 18 30 X 15

A: Given two similar triangles

Q: Find the slope of the line passing through the pair of points. (If an answer is undefined, enter…

A: find the slope of the line passing through point (-3,4) and (7,4)

Q: Solve the equation. Give a general formula for all the solutions. List six solutions. 5√3 - 5 cot 0…

A: Given query is to find the solution of the expression

Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round…

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Q: What is the value of sin (23) - cot (2) 6 3 √3 6 -3+2√3 3-2√3 6

A: To find the value of given trigonometric expression

Q: The letters r and 0 represent polar coordinates. Write the given equation using rectangular…

A: To write the given equation in rectangular coordinates.

Q: 2) sin 8 cos tan 0 = 1 GOAL Show work on this side

A: we know that   tanθ=sinθcosθprove   sinθcosθtanθ=1

Q: Solve the following equation for on the interval [0, 27). 2 tan (0) − 5 = −3 ㅠ List the angles…

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Q: Given the vector u = 4ỉ – 4j, find the magnitude and angle in which the vector points (measured…

A: We have given

Q: a. Given sin(a) - and 3/2 < a < 27 and sin(3) = -and ß is in quadrant III. Use sum and difference…

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Q: For all values of for which the expression is defined, COS (20) tan²0 =?

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Q: Rewrite the complex number 9 + -8i in Polar Form using r [cos(0) + i · sin(0)] Round r to two…

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Q: If −π ≤ 0 < π, find all values of that satisfy the equation 9 tan² 0 = 9√√/3 tan 0. Enter your…

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Q: Let f(x)=8x-5. (a) Find the average rate of change from 8 to 9. (b) Find an equation of the secant…

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Q: If tan(a)= -7/3, where a terminates in Quadrant II, find the exact value of sin(2a).

A: Given:- tanα=-73

Q: determine the measure of the positive angle with measure less than 360° that is coterminal with the…

A: for positive coterminal angle we add the multiple of 360°given  a=-872°