Write the complex number in trigonometric form. 8i =(cos+isin) 8i =

Q: Given that f(x) = = 47x x+10 and g(x) = cot (12x), find (gof)(x)

A: The given functions are,

Q: tan theta cos^2 theta = (2tan theta cos^2 theta - tan theta)/(1 - tan^2 theta

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Q: The monthly income I, in dollars, from a new product is given by I(t)=8100-6500e-0.002t where t is…

A: Solve the given question.

Q: Solve 2 cos²(w) - 3 cos(w) + 1 = 0 for all solutions 0 ≤ w < 2π W = Give your answers as a list…

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Q: Solve the right triangle shown in the figure. a = 13.2, b=24.6 b B

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Q: Given a triangle with angle A = 100 degrees and sides a = 42 and b = 14. Find side c. C = Round to…

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Q: Matrix A has 3 rows & 2 Columns Matrix B has 2 rows of 3 colums Matrix C has 2 rows by 2 colums…

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Q: Average Temperatures Let the monthly average high temperature y in degrees Fahrenheit at a location…

A: Solution-Y=15sin(π/6(x-4))+60

Q: Prove that the following equation is an identity. csc x-sin x cot x Choose the correct answer below.…

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Q: A triangular field has sides of lengths 28, 32, 55 m. Enter your answer as a number; answer should…

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Q: Given sin θ = -0.5, find θ.

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Q: Find the product for A and B with this matrices. A = 싫 3 A) 2 5 94 9 0 B=L 1-12 28 B) [36 " 8 c) 16…

A: Consider the matrices

Q: Verify the identity. cos 2 x tan 2 To verify that an equation is an identity, start with the more…

A: To verify the following identity.

Q: Write the expression as the sum or difference of two functions. 1/2 s sin 7x cos x

A: Explaination of the answer is as follows

Q: 60. 4T 62. 64 3m 2 7m

A: Let's find the question Number is 62 : -Theata= -3π/2

Q: . Suppose g'(x) > 0 and g"(x) > 0 for all real numbers x. Sketch a possible graph of f(x) =…

A: Given that  and  for all real numbers of .The aim is to sketch a possible graph of .

Q: Given C=61°, a=10 and b=6, find the area of the triangle:

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Q: The 12th term of the geometric sequence 2,3, 4.5 A) 154.885 B) 97.342 C) 128, 284 D) 172.995.

A: Geometric Sequence : 2, 3, 4.5 , . . . . . . .

Q: what about questions 4-15?

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Q: Exercises 35-38: Checking Symbolic Skills (Refer to Example 7.) Evaluate the indicated trigonometric…

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Q: Solve the equation for x if 0 ≤ x < 2?. Give your answer in radians using exact values only. (Enter…

A: We need to solve :Such that

Q: Evaluate the indicated minor and cofactor for the following determinant. 3 -2 3 2 5 0 -3 3 M13= C13…

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Q: Convert to decimal degrees 45°12'

A: As per guidelines, I could answer one question and rest of the questions should be reposted.…

Q: Hello, I have solved this question and want to make sure my work is right! I just want to make sure…

A: In right angle triangle(Hypotenuse)2 =(base)2 +(Perpendicular) 2 .(1) And tan (theta) = opposite /…

Q: Solving the following equation will require you to use the quadratic formula. Solve the equation for…

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Q: From a point on the floor the angle of elevation to the top of a door is 46°, while the angle of…

A: From a point on the floor the angle of elevation to the top of a door is 46°, the angle of elevation…

Q: a) Explain what a trigonometric identity is, b) give an example of a trigonometric identity, and c)…

A: A trigonometric identity is an equation that relates the trigonometric functions of one or more…

Q: etch θ=−690° in standard position. Then show its ref

A: Its noteworthy  can be written as

Q: A 110-foot vertical tower is to be erected on the side of a hill that makes a 6° angle with the…

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Q: ec (8) -3.4116 with in Q 8

A: The given equation  with  in QII

Q: From a window 32.0 ft above the street, the angle of elevation to the top of the building across the…

A: Given :Height of window = 32 ftThe angle of the elevation to the top of the building across the…

Q: 2. Find the length of the missing side. If necessary, round to the nearest hundredth. b a. 136.53 c.…

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

Q: The graph of y=sec(x) and y=csc(x) are transformations of each other. 1) Explain what…

A: We have to explain transformation needed to convert y=sec(x) into y=csc(x) and the equation that has…

Q: Find all solutions of the equation in the interval [0,2). 1 2 cos 3x =

A: on

Q: Write an equation for the hyperbola with center (5,-8), focus at (8,-8), and vertex at (7,-8)

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Q: cos 3 theta = 0 find alldegree solutions

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Q: If you enter a number into a handheld calculator and then repeatedly press the cosine button, what…

A: If you enter a number into a handheld calculator and then repeatedly press the cosine button, what…

Q: Use a double-angle identity to find the exact value of the given expression. 1-2 sin 2 8

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Q: Using the Law of Sines to find a triangle with one obtuse angle if ZA = 49°, a = 28, b = 30. If no…

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Q: For the following graph, list the period and amplitude and state the equation for the graph in both…

A: The standard equation of cosine and sine function Amplitude time period phase shift vertical shift

Q: [AS] 13. Identify the figures that make up this composite figure and Determine the area of the…

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Q: Height A free grows at angle of 4⁰° from a vertical de to prevailing winds Ata point tree is 26° पप…

A: We have to find the equation of height and calculate the height.

Q: 2. Round angles to the nearest tenth. A 7 9 C 5 B

A: The oblique triangle is given as,

Q: Review: Trigonometric Ratios in a Right Triangle 4 Please answer the following question(s): 1. A…

A: Given ladder height is 20 m.we know,

Q: Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.…

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Q: Use a double-angle formula to find the exact value of the given expression. 1-2 sin ²22.5°

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Q: Use elementary row operations to write the matrix in row echelon for 124 1 227 3 368-1

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Q: Write the expression as the product of two functions. sin 60+ sin 40

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Q: how many solutions does tan 3x = a have/ less than 2 pi but greater than 0

A: Find the  number of solution  of question. We will find the solution  using graph of tan 3x.

Q: Ch 02 Sec 4 Ex 03 (c) - Terms of a Sequence For the sequence an= [n/2], the values of the first four…

A: