Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. cos 78° =

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A: According to guidelines, we can solve one question at a time . So, solving the first question.…

Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in…

A: DeMoivre's Theorem rcosθ+isinθn=rncosnθ+isinnθ

Q: 4. The mean average monthly temperature in Toronto, Ontario is 8.6°C. The temperature fluctuates…

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Q: 14 17 Give an exact answer in the form of a fraction. Given that sin(0) = and is in Quadrant II,…

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Q: Find all the complex roots. Write the answer in exponential form. The complex cube roots of 12 +…

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Q: Solve the following triangle using either the Law of Sines or the Law of Cosines. B=22°, C=86°, a =…

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Q: Which of the following is equivalent to Select the correct answer below: cos acot 3+ sin a cos acot…

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Q: 0. Determine the exact values of each expression for the given value of Note: Your answers must be…

A: 1)  sin2θ=2sinθcosθwhen θ=π4sin2θ=2sinπ4cosπ4

Q: Rectangular-to-Polar Conversion In Exercises 33-40, plot the point given in rectangular coordinates…

A: we need to convert the given rectangular coordinate into polar coordinate.

Q: or the following vectors, (a) find the dot product vw; (b) find the angle between v and w; (c) state…

A: Given query is to find don't product and angle between the vectors.

Q: The dimensions of home plate at a random baseball field in the United States are shown. Find the…

A: Solve the following

Q: X²+²-2√√31²³² +4=0 has 4 Solutions Hint' U=X² +

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Q: Plot the point given in polar coordinates. (-2.-²7) 3 2π Select the graph that represents the point…

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Q: An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the…

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Q: Perform the indicated operation: {9 [ cos (138°) + i sin (138°) ] } / { 5 [ cos (21°) + i sin (21°)…

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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: If cos(y) = and y is in the first quadrant, find cot²

A: We have to find the value of cot2y2.

Q: Sketching a Hyperbola In Exercises 21-30, find the center, vertices, foci, and asymptotes of the…

A: We can find center , vertices , foci and asymptotes of the hyperbola.

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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: Solve the triangle. b=10, c=9, A= 50° C≈ (Round to two decimal places as needed.) (Round to one…

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Q: For f(x) = 5 and g(x) = 3x² + 2. find the domains and ranges of f, g, f - g and 97-4

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Q: would I get the equation with this graph? The anchor point is (4,0) and I tried the equation…

A: Given query is to find the equation of the graph.

Q: Ο 0.087

A:

Q: Which of the answer choices correctly graphs the polar equation below? r = 3

A: The given polar equation r=3. We have to sketch the graph of the equation.

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: Which of the following are solutions to the following equation where 0 ≤ 0 < 2π 2 sin(30) = 1 Select…

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Q: Find the sine of ZS. R Q √√5 S √√√6

A: Given triangle is right angle triangle, Using Phythagorus theorem , In ∆SRQ(SQ)2=(SR)2+(RQ)2…

Q: 7. Simplify: secx cotx = 1, cos cos sin = CSC

A:

Q: 76. arcsin 36 - x² 6 ccos( = arccos 0≤x≤6

A: Assume the given equation equal to y and then make the triangle.

Q: Use the graph of the function to find the following: a. the domain and range of the function; b. the…

A: Graph of the function is given, we have to find its domain, range, intercepts , increasing and…

Q: Write three other polar coordinates with the same Cartesian coordinates as the polar point 4π 3 Give…

A: Given query is to find equivalent polar coordinates.

Q: K Ralph Chase plans to sell a piece of property for $140000. He wants the money to be paid off in…

A: The answer is given in step 2 and 3

Q: of Thunder Bay, Ontario, has average monthly temperatures that vary between - 14.8°C and 17.6°C. The…

A: 7. The city of Thunder Bay, Ontario, has average monthly temperatures that vary between -14.8°C…

Q: Solve the triangle. CN (Round to two decimal places as needed.) A≈ (Round to one decimal place as…

A: Given query is to complete the triangle.

Q: 554 --3/4-2-4 -1 -2 3 ينا S 4 2 34 Identify the function whose graph appears above. f(m T 5.

A: Topic:- trigonometry

Q: The count in a bacteria culture was 300 after 10 minutes and 1600 after 35 minutes. Assuming the…

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Q: A curve with polar equation T represents a line. This line has a Cartesian equation of the form y =…

A: Solve the following

Q: 1. Here are the characteristics of a sinusoidal function: Characteristics: □R: -2.5 ≤ y ≤7.5 minimum…

A: We have to find the equation.

Q: 2. If cos a = 2 3 6 sin ß = ²³, P(a) € QI, P (ß) € QIII, find the following: c. sin(2a) b. tan(a +…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use the given conditions to find an equation in slope-intercept form of each of the nonvertical…

A: Given query is to find the equation of the line.

Q: The variables r and 8 represent polar coordinates. (a) Write each polar equation in rectangular…

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Q: 28. Calculate the distance across the crests of the acme thread shown below to the nearest…

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Q: Find the coordinates of the points where the sides of the following angles terminate. 25m 44v

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Q: If sec 0=9, sin 0>0, find the exact value of each of the following for 0 ≤0 < 2. 0 0 (a) sin (20)…

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Q: Evaluate. Given that log x=2 and log y = 4, find log xy?

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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.