Perform the indicated operation: 10 [ cos (18°) + i sin (18°) ] / 11 [ cos (63°) + i sin (63°) ] Give your answer in polar form: [cos °) + i sin °) Round your final answer to 4 decimal places.

Q: Find an angle e between 180° and 270° which satisfies the equation cos 0 = 2

A: We know that cos is negative in 1st 2nd and 3rd quadrant.  cos(45degree)= 1/(root2)

Q: Use the given conditions to find the exact values of  sin(2u), cos(2u), and tan(2u) using the…

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Q: Perform the indicated operation: 13 [ cos (142°) + i sin (142°)]* 14 [ cos (74°) + i sin (74°)] Give…

A: Given: cos(142°)+isin(142°)*14cos(74°)+isin(74°)

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: Cosu =4/5 We can calculate Sinu by using Pythagoras theorem Hence sinu = 3/5

Q: Find the angle 0 between v = cos 120°i+ sin 120°j and w= cos 135°i+ sin 135°j. If necessary, round…

A: Given, v=cos120∘i+sin 120∘jw=cos135∘i+sin135∘j We know that, cos…

Q: Approximate the acute angle u to the nearest (a) 0.01 and (b) 1'.

A: Approximate the acute angle u to the nearest (a) 0.01 and (b) 1 Given, cosθ=0.8

Q: Find the acute angle between the planes. Round to the nearest thousandth of a radian - 9x - 9y - 5z…

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Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. 9 3 cos 0+2…

A: Let's convert to Cartesian equation.

Q: Convert the equation to a rectangular equation. 7. 4-2 cos 0 3D0

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Q: Use the half-angle formula to find the exact value of cos(165°).

A: 165 degrees is in the second quadrant. So cos 165 will be negative.  Then we use the half-angle…

Q: Change the equation to rectangular coordinates. r(3 cos e + 4 sin 0) = 12

A: r3cosθ+4sinθ=12

Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

A: The given surface in spherical co-ordinate system is ρ=sin Φ sin θ     .......(1)

Q: Write the following numbers in the polar form re®, 0 <0 < 2r: (a) 7 ,e = (b) 8 + 8i (c) – 6 + 6i…

A: 17=17+0·i Now comparing with x+iy, we get x=17 &amp; y=0 Therefore, r=x2+y2=172+02=17 &amp;…

Q: Find the angle between v = -3i + 2j and w = 4i - j. Round to the nearest tenth of a degree.

A: Given v=-3i+2j &amp; w=4i-j We have to find angle between given two vectors. Solution: Let angle…

Q: In calculus, it can be shown that eiθ = cos θ + i sin θ. Use this result to plot the complex number…

A: Given: Complex number eπi/4

Q: Perform the indicated operation: 8 [ cos (231°) + i sin (231°)] * 13 [ cos (332°) + i sin (332°) ]…

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Q: Use a reference angle to find the exact value of cos 210 degree        -1/2

A: Let the given cosing angle be y - y = cos210Angle 210° lies in the third quadrant.So, we can take…

Q: convert to an equation in rectangular coordinates.  r = sin θ

A: r=sin θ

Q: Find the angle between u=2i+j and v=-4i+10j in degrees as a decimal rounded to the nearest hundredth

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Q: Perform the indicated operation: 9 [ cos (289°) + i sin (289°) ] * 14 [ cos (197°) + i sin (197°) ]…

A: Given that                                9cos(289°)+i sin(289°)×14cos(197°)+i sin(197°) we can…

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. 4. 7 cos 0+2…

A: To convert the given equation into cartesian form.

Q: Find angle A (to the nearest 0.1 degrees) if COS A = 0.5432.

A: COS A = 0.5432 A = ? Now, COS A = 0.5432 A = COS-1( 0.5432) A = 57.09 ~ 57.1° Therefore, Angle A =…

Q: 2 = sin 0 – sec 0

A:

Q: Find the acute angle in radians between the planes -2x + z = 1 and 1y + z = 1. You may ieave your…

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Q: Derive the Law of Cosines from the Pythagorean Theorem.

A: Consider the following figure: BC=aAB=bAC=cCD=a-bcosθ

Q: Convert the angle in degrees to radians. Round to two decimal places. - 8° -8° =D radians (Round to…

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Q: Perform the indicated operation: 5 [ cos (275°) + i sin (275°) ] * 13 [ cos (268°) + i sin (268°) ]…

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Q: Use the half-angle formula to find the exact value. cos 22.5° = ロ石 号 %3D

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Q: Find cos(−Pi/12)using a half angle formula.Express answerin simplest radical form.

A: Note: First I have written the half - angle formula for cosine , just use them for given function…

Q: A 12-foot ladder that is leaning against a wall makes a 75.5° angle with the level ground. Which of…

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Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: Givne :  cos ( u ) = - 4/5 And π/2 &lt; u &lt; π  angle lies in second quadrant .

Q: Convert to rectangular form. 2 = 1/(9 + cos? ®)

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Q: convert to an equation in rectangular coordination r = 1/cos θ − sin θ

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Q: Find [2(cos 30° + i sin 30°)]5. Write the answer in rectangular form.

A: Trigonometry:  We need to find the value of the following    [2(cos 30°+isin 30°)]5

Q: Find the exact value of cos if a is the angle in the diagram below. 2

A: Here we have to find the exact value of cosα2=?

Q: Find the angle between v = -3i + 2j and w = 4i - j.Round to the nearest tenth of a degree.

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Q: Find an angle between 0 and 2pi in radians that is coterminal to -185°

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Q: Find the angle 0 between v = cos 60°i+ sin 60°j and w = cos 135°i+ sin 135°j. If necessary, round to…

A: Find the angle between two vectors

Q: Use the appropriate compound angle formula to find the exact value of cos 3

A:

Q: find the angle between 0 and 2pi in radians that is coterminal with - 4pi/7

A: To find the angle between 0 and 2π in radians that is coterminal with -4π7.

Q: Perform the indicated operation: 15 [ cos (22°) + i sin (22°)] * 16 [ cos (158°) + i sin (158°) ]…

A: This is a basic multiplication problem of complex number in polar form. Step by step solution is the…

Q: Find all angles, os0<360, that satisfy the equation below, to the nearest 10th of a degree. 3 cos(0)…

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Q: Perform the indicated operation: 5 [ cos (275°) +i sin (275°) ] * 13 [ cos (268°) + i sin (268°) ]…

A: Proceed as shown...

Q: V3 ate arccos 2 n radians n degrees

A:

Q: Complete the formula for the law of cosines: cos A = _________

A: To determine: Complete the formula for the law of cosines: cos A = _________

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: Given sinu=-45 Also 3π2&lt;u&lt;2π i.e. u lies in 4th quadrant.

Q: Find all angles, 0° < 0 < 360°, that satisfy the equation below, to the nearest tenth of a degree…

A: Topic- Inequalities