(つ、3) Ex 1 Convert each point to polar coordinates a) (-2, 2v3) b) (5,0) in terms of x, y.and cos sin Ex 2 Convert each point to rectangular coordinates b) a) (-6,240°) cangular coordinates. b)r 6 sin

Q: Write the equation r = 11 cos(0) in rectangular coordinates. а) Ох%3D у+11 b) Ox? + y? = 11x c) Ox²…

A: We do it by following steps.

Q: 3-) The terminal arm of an angle in standard position passes through the point (5,9). Find the…

A: Solution

Q: A) Find the nearest distance from the point (-4,2) and the line 2x - y = 5 B) Find an if x = sin 3z…

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Q: Write polar form of z=-2-i V5 (cos2.68 +i sin2.68) V5 (cos2.68- i sin2.68) 5 (cos2.68 - i sin2.68)…

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Q: 2. In both parts, full marks will only be obtained if exact answers are given in terms of . √2 etc.…

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Q: 11.Solve for the 2 angle solutions, in degrees, for the given trigonometric equation. sin 0 1/2

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Q: 2) find the radius and coordinate center for the equation 2x42y+10y-12х-20-0 3) prove that sin 2x…

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Q: Solve for the angle 0, where OsO<2t ( choose two points only) 3 sin? 0 = 4

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Q: Write these phasors in all 3 forms + sketch: a) V = 5e¹.5j

A: We have to solve given Questions.

Q: B)Convert 20= tan¹r to cartesian.

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Q: Most trigonmetric equations have solutions that are unique

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Q: Decide if the given polar coordinates are the same.

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

Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

A: The given rectangular coordinate point 5, -53, 103. We have to convert this point into spherical…

Q: Vrite the complex number in rectangular form. 7) COS + i sin - 6.

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Q: 10) Given the polar equation r = 8 sin 0 a) Graph it, and b) Express it in rectangular coordinates.…

A: Given: r=8sinθ

Q: r=2 Sin cQ-Ę) Cos co-Ę)

A: The given equation is r=2sinθ-π4cosθ-π4 Apply the formula sin2θ=2sinθcosθ to get:…

Q: Convert the equation from polar to Cartesian r²sec² +4rcos-r² tan² = 0 a) b) r = 3 sint cost

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Q: The Cartesian coordinates of a point is (4, -4√3). This point in polar coordinates can be…

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Q: (5n arcsin ( sin 6 . (") A) B) 6 C) 6 D) 6. 11n E)

A: Solve the equation

Q: Calculate (- 2 + 2i)°. Give your answer in a + bi form

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Q: 4T 0 = 3 Rectangular form: r cos 0=-3 Rectangular form:

A: Consider the angle, θ=4π3 To convert in rectangular form,…

Q: Determine a sine and cosine equation for each graph (2 equations per graph). | Fy 45,5 90 90, 2 135,…

A: Note: We will be measuring in radian instead of degree.The given graphs are drawn as follows.(a)(b)

Q: to rectangular coordinates.

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Q: 5] compute: 7A -5B where: 2+3i itqi -si A = 3+7i -4 ?b-8 7 3ti 2+si ?5-8 5-2i -4-3i 8ミ チ+

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Q: Which is the correct rule to use when converting the complex number z = a + bi to polar coordinates?…

A: The solution is shown in step-2

Q: Eliminate the parameter and find a corresponding rectangular equation  x=2 cos theta y=cos^2 theta…

A: The given parametric equations are as follows. x=2cosθ…

Q: d) x¹+1=0 e) x¹-i=0 f) x¹-(4+4i√3)=0

A: Argument in polar form lies in [-π,π]

Q: What would the coordinates of 210° be? (0.1) (-1,0) 0(1.0)

A: Coordinates of point

Q: 2. The terminal side of angle 0 in standard position goes through the point (-1,-5). a) sin(0) b)…

A: Recall the following. If the terminal side of the angle θ that passes through the point x, y, then…

Q: 125° 64°

A: Figure:-