Write the expression in rectangular form x + yi and in exponential form rei COS 5 — + i sin 9 3 55] 9 The rectangular form of the given expression is and the exponential form of the given expression is. (Simplify your answers. Type exact answers, using as needed. Use integers or fractions for any numbers in the expressions.)

Q: Convert the complex number, z = 5(cos(π4)+isin(π4))5(cos(π4)+isin(π4)) , from polar to rectangular…

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Q: Using the figure below, solve the right triangle. (Round lengths of sides to three significant…

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Q: fƒ(x) = x² + 2x − 1, g(x)=2x-3, evaluate (gof) (2)

A: Given query is to find indicated composite function m

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Q: An employee wants to invest $60,000 in a pension plan. One investment offers 6% compounded…

A: ⇒A=P1+rnnt ⇒P=Initial amount ⇒A=Amount  at time t ⇒n=compounded period ⇒t= Time in years

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: Using the figure below, solve the right triangle. (Round lengths of sides to three significant…

A: Explanation of the answer is as follows

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Q: Don James wants to invest $63,000 to earn $7,490 per year. He can invest in B-rated bonds paying 15%…

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Q: If 0= www. 1T 4 then find exact values for the following: sec(0) equals csc (0) equals tan(0) equals…

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Q: 4. 2y = tan x

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Q: Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the…

A: To transform the polar equation to Cartesian form.

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Q: Solve the system by the method of your choice. X 2 2 x + 3y = -14 - OB. y = -1 Select the correct…

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Q: a) Em g) 47 b) 4 h) 7 ) 27 i) 18

A: Since you have asked multiple question, we will solve the first 3 sub part of first question for you…

Q: Given that sin(0) = 6 and is in Quadrant II, what is cos(20)? Give an exact answer in the form of a…

A: To find the value of cos(2θ)

Q: Solve the logarithmic equation log4 (x2-11x +34) = 1

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Q: f For f(x) = 3 and g(x) = 2x² + 1, find the domains and ranges of f, g, g and

A: ven f( x ) = 3 g( x ) = 2x2 + 1 domain = reach of x values range = reach of y values

Q: Give the coordinates of the point F in the graph below. Enter your answer as (r,) with in radians.…

A: Here we can see that  F point is at distance of 2 units from center. So radius r will be 2 units.

Q: Solve the following equation for x, where 0 < x < 2π. 8 cos(2x) + 48 cos x + 28 = 0 Select the…

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Q: ► If the terminal side of angle goes through the point (-333, -2√73) on the unit circle, then what…

A: we need to find out the value of cos(theta).

Q: Convert the Cartesian coordinate (-2,-3) to polar coordinates, 0 ≤ 0 0. Give an exact value for r…

A: formula used is for polar coordinates  r2=x2+y2θ=tan-1(yx)given (x,y)=(-2,-3)

Q: Convert the given polar equation into a Cartesian equation. Provide your answer below: r = 2sin 0 +…

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Q: 1. The co-ordinates of point P on the terminal arm of each 20 in standard position are shown, where…

A: Note : Since you have posted multiple questions with multiple subparts, we will provide the solution…

Q: ind the exact value of the following if 0 ≤ x ≤ π/2 and 0 ≤ y ≤ π/2 sin(x − y) if cos x = 3/5 and…

A: this is question of trigonometry trigonometric function value given  we have to find the other…

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Q: Ο 0.087

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Q: Find the unit vector in the same direction as v. v=i-6i

A: NOTE: Refresh your page if you can't see any equations. . for the vector  the unit vector in the…

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Drag the point to graph the polar equation. Provide your answer below: 180 150 r-sin (0) - 1

A: Given:       r=-sinθ-1 This is in the form of r=a±bsinθ

Q: Identify and graph the polar equation. r=8 sin (30) What shape does the polar equation form when…

A: Given the polar equation is r = 8 sin 3θ

Q: Which of the following are solutions to sin x cos x + sin 2x =1? -20.67 degrees, 69.3 degrees -32.2…

A: given equation is    sinxcosx+sin(2x)=1 then we have to find solution of the equation

Q: If 0 < x < 27, find all values of that satisfy the equation Enter an exact answer, in terms of .…

A: here given that cos3(-x)tan2x + cos3(-x) =(√3)/2 taking common cos3(-x) we get cos3(-x)[tan2x+1]…

Q: Please answer correctly for a thumbs up, thank you

A: We will find the required.

Q: The sine of a certain angle is 0.6. Calculate the cotangent of this angle. O 5/4 O 3/4 O 4/5 O 4/3

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Q: Graph the curve whose parametric equations are given and show its orientation. Find the rectangular…

A: NOTE: Refresh your page if you can't see any equations. . to graph the function, we need a few…

Q: The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can…

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Q: side b Angle B Angle M 0 M 35 yards 24 yards

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Q: If sec 0 =3, sin 0 > 0, find the exact value of each of the following for 0 ≤0 < 2. Ө 0 (a) sin (20)…

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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: Write the expression in rectangular form, x+yi, and in exponential form, re [√7 (CO 4t 18 +isin 4t…

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Q: Solve the triangle. a=2, b=5, C = 40° (Round to two decimal places as needed.) (Round to one decimal…

A: We need to solve the triangle.

Q: Use the quotient, reciprocal, or the Pythagorean identities to simplify each expression to a single…

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Q: Simplify the expression: I 1-082

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