Convert the Cartesian coordinate (6,-3) to polar coordinates, 0 ≤ 0 < 2π, r > 0 r = Enter exact value. 0 =

Q: Calculate (1-21)7. Give your answer in a + bi form

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Q: Find all solutions to the following triangle. (Round your answers for angles A, C, A', and C' to the…

A: B = 119°, b = 0.69 cm, a = 0.99 cm

Q: A light aircraft was traveling 108 miles per hour straight and level when the pilot measured a…

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Q: The height of a radio tower is 400 feet, and the ground on one side of the tower slopes upward at an…

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Q: Using the vector addition simulation, what is the actual velocity of the boat? What is the actual…

A: We have to find the velocity and actual direction of the boat.

Q: Sin(x)+sin(2x)+sin(3x)

A: We have to simplify the given trigonometric problem.Given -As we know that-

Q: 20. Find the period of each trig function below:20a. 2 sin(3x), 20b. 3 cos(5x), 20c. 3 tan(4x), 20d.…

A: The objective of this question is to find the period of each given trigonometric function. The…

Q: Write a polar equation for the graph below. Enter theta for if needec -6 -4 -3 -2 r(0) = 6 + 5 4 3 2…

A: The standard equation of the circle with center  and radius  is

Q: 4. Determine the exact ratio of sin 11π 12

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Q: Find all degree solutions for the following. cos 2? = 0

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Q: (d) cos 12 9. Angle z is located in the second quadrant and angle y is located in the first quadrant…

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Q: Find the exact value of the expression using the provided in formation. Find cos(s+t) given that cos…

A: To find the exact value of the expression  given that , with  in quadrant I and  with  in quadrant…

Q: 1. Convert radians/degrees and find the coterminal angles between 0-360° or 0-2π radians. a) 13π/6…

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Q: A river runs west to east. A tree stands on the edge of one bank of the river and a man standing…

A: Let h be the height of tree and x be width of riverThe figure

Q: Find c if a = 2.19 mi, b - 3.15 mi and ZC = 41 degrees. Enter c rounded to 3 decimal places. mi; C =…

A: According to the Chegg guidelines we are supposed to do the first one of multiple questionsKindly…

Q: Sketch the ellipse and list its domain and range. (x-4)² (y + 2)² + 9 = 1

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Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

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Q: evaluate tan-1(tan(5pi/6))

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Q: sin(x + y) = sin(x) cos(y) + cos(x) sin(y)cos(x + y) = cos(x) cos(y) − sin(x) sin(y)23a. Find an…

A: The objective of the question is to find the exact value for sin(75 degrees) using the given…

Q: Determine the equation of the given conic in XY-coordinates when the coordinate axes are rotated…

A: we have given equation of conic

Q: Prove the identity. (sin(x) + cos(x))² = 1 + sin(2x)

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Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of ce…

A: Note:-Since you asked multiple question , according to our policy we can answer only first question…

Q: An equation of an ellipse is given. (x − 2)² + (y − 3)² = 1 9 4 (a) Find the center, vertices, and…

A: Consider the equation of ellipse

Q: sin 2x 1- cos2x = cotx Note that gach Statement must

A: Proved that the identity we have to find checks the indentity

Q: Rewrite the polar equation T = 5 cos(0) as a Cartesian equation.

A: Consider the polar equation

Q: Solve 5 cos(3x) = 2 for the smallest positive solution. Give your answer accurate to at least two…

A: Consider the equation

Q: Apply each of the following transformations to P = (5, 3):  (a) Reflect across the x-axis, then…

A: If the point (x,y) is reflected across the x-axis then the new coordinate is given by (x,-y)If the…

Q: Solve the equation between 0 and 2?, 3 sin2 (?) + sin(?) = 1 − 3 sin2 (?)

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Q: Find cos θ , given that tan θ = -8/9 and θ is in quadrant II

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Q: 7. Given =(-7,-4) and w=(8,-2), find the following for problems 6 and 7. Make sure you use proper…

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Q: Evaluate and write your answer in a + bi form. Round your decimals to the nearest tenth [5(cos…

A: We will use the following formulas.

Q: Let v = - 4i +3j and w=-i-4j. Find 6v - 3w. 6v - 3w= (Simplify your answer. Type your answer in…

A: Let .To find .

Q: Solve the inequality to two decimal places where 0 ≤ ? ≤ 2?, 4 cos(?) + 2 &gt; pi

A: The objective of the question is to find the values of x that satisfy the inequality 4 cos(x) + 2…

Q: 3. Use an appropriate compound angle formula to determine an exact value for each. (a) cos

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Q: To project the construction of a new industrial estate specialized in sustainable manufacturing…

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Q: Question 10 39 cm B 8° 45 cm Figure 1 42 cm (c) Find the area of triangle ABC. NOT TO SCALE C Figure…

A: Given:  To Find: (a) To find  and to show that (b) To find (c) To find the area of triangle ABC.

Q: Write the complex number in trigonometric form. 2-2i 2-2i=√(cos +isin)

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Q: Station Cut End Area (ft2) 10+00 240 11+00 362 12+00 443 13+00 406…

A: The objective of this question is to calculate the volume of excavation between stations 10+00 and…

Q: For Questions #1-3, solve each oblique triangle. Use significant digits for rounding, unless…

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Q: Given cos(α)=7/9 and α is in quadrant IV, find the exact value of cos(α/2).

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Q: Write the expression as a single trigonometric function. cos(9x)cos(8x)-sin(9x)sin(8x)

A: The objective of the question is to simplify the given expression into a single trigonometric…

Q: Establish the identity. 1 1- sin 0 1 1 + sin 0 -= 2 sec ²0

A: To prove

Q: write in terms of sine and cosine: tan²x - sec²x =

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: Write the complex number in trigonometric form, once using degrees and once using radians. Begin by…

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Q: find the area of triangle ABC a = 153m b = 164m c = 170ml

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Q: What is the standard form equation of the hyperbola that has vertices (±6 , 0) and foci (±2√10 , 0).…

A: The objective of this question is to find the standard form equation of the hyperbola with given…

Q: Solve each triangle ABC that exists. B = 34°36' a = 38.5 b=30.9 Select the correct choice below and,…

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Q: A man who is located west of a radio station observes that his elevation angle is 45°. Walk 50 m to…

A: The figure

Q: write the complex number in trigonometric form r (cos 0 + sin 0), with in the inteval [0°, 360°).…

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