Evaluate the following expressions. Your answer must be an exact angle in radians and in the interval [0, ]. T Example: Enter pi/6 for (a) cos (b) cos 6 (-)-( -¹(---)-( (c) cos

Q: Suppose that a piston is moving straight up and down and that its position at time t sec is s = A…

A: We need to find Value after doubling the frequency.

Q: Using the Law of Sines to solve the all possible triangles if ZA = 105°, a = 35, b = 12. 4 If no…

A: figure:-

Q: i0₁ If z₁ = r₁e and Z₂ = r₂e O Choose the correct answer below. O O 1 i(0₁ + 0₂) 11 0₁ i A 1…

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Q: Let u = -6i+6j, v = 21-j, and w= -3i. Find 4u-(4v-w). 4u-(4v-w) = [ (Type your answer in terms of i…

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Q: a = 10, b = 5, c = 13

A: area(A)=S(S-a)(S-b)(S-c)S=a+b+c2

Q: Solve the following quadratic equation: -x² + 2x + 30

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Q: Use the space provided to solve sin(x − 2) + 1 = 1/2 over the interval [0, 2π). Show your work

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Q: Which expression is equivalent to sec a(1 — cos²a) for all values of a for which seca(1 — cos²a) is…

A: We need to find an expression equivalent tosecα(1-cos2α)

Q: a = 16, b = 28, C = 32°

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Q: Write the expression - 27 sin(x) + 3 cos(x) in terms of a sine function only. We have that -√27…

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Q: Rewrite the complex number 8e6i in a + bi form.

A: We know  eiθ=cosθ+isinθ

Q: 10. Find three cube roots for z = 8(cos 210° +isin 210°). Leave your answers in trigonometric form.

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Q: d (701 20 X

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Q: Name: 3) csc cos cot 0 = sin 0 GOAL Period: Show your work on this side

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Q: Find the length of the side labeled x in the following triangle: 5 30° 4.62 6.93 8 4

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Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round…

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Q: For the following pair of vectors, find U · V. U = 6i + 3j, V = −6i + 3j

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Q: 7. Determine the solutions for sin x 1- cos x sec x x € [- 2₁1, 1] (Hint: simplify the equation…

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Q: Which of the following equations describes a parallel line to y-3x+2?

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Q: Z Find zw and. Write each answer in polar form and in exponential form. W T z = 8 cos ( w = 8 cos…

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Q: Find the cosine of ZF. G 22 cos (F) √55 H = 33 Write your answer in simplified, rationalized form.…

A: To determine the cosine ratio

Q: C a = 31.7 m, A = 43.10 m m

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Q: Name the property of real numbers illustrated by the equation: (3 + 7) + 12 = 3 + (7 +12)

A: Given equation: 3+7+12=3+7+12 It is of the form: a+b+c=a+b+c

Q: The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can…

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Q: 11. Express in terms of x only sin(tan-¹x)

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Q: A concrete walkway is being installed around a garden area as shown: 4 ft O 10 ft If the concrete is…

A: Radius of inner circle r = 10 ft Radius of outer circle = 10 + 4 = 14 ft Area of concrete walkway

Q: Use your calculator to solve each equation on the left on the interval 0 ≤ 0 ≤ 2π. and match it with…

A: The given data is: Use the calculator to solve each equation on the interval 0≤θ≤2π

Q: What is the horizontal asymptote of the following rational function? x² +1 y = x³ + 6x + 2 There is…

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Q: Solve the following logarithmic function: log x= -4

A: Given, log x=-4

Q: Write the trigonometric form of the complex number. 6-6sqrt3i    (Let 0 ≤ ? < 2?.)

A: to write trigonometric form.

Q: (0,2pi) 5cosxcotx=cosx

A: Given Equation:- 5cosxcotx=cosx

Q: Which of the following is the same location as the polar point (2,45degree) a. (2,405) b. (-2,225)…

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Q: For the following points, determine: (4,3) and (3,10) A. The distance between them B. The slope of…

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Q: Perform the indicated operation: 10 [ cos (16°) + i sin (16°) ] * 11 [ cos (146°) + i sin (146°) ]…

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Q: 7. Evaluate sin(cos-¹(3))

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Q: A perfect triangle is a triangle whose sides have whole number lengths and whose area is numerically…

A: To show that the given triangle is a perfect triangle.

Q: Find the slope of the line passing through the pair of points. (If an answer is undefined, enter…

A: find the slope of the line passing through point (-3,4) and (7,4)

Q: A plane is flying at a speed of 330 miles per hour or

A: Given Flying speed of plane=330 miles per hour. Ground speed of plane=390 miles per hour Direction…

Q: cot cos + tan sin (cosec+ sec )(1 - sin cos)

A: To prove that the given relation is true

Q: Solve for the value/s of x over the interval [0, 2π) in the equation 2 cos(x) - 3 = -4. Check all…

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Q: Write the expression in rectangular form x + yi and in exponential form rei COS 5 — + i sin 9 3 55]…

A: Given a complex number

Q: Perform the indicated operation: 3 [ cos (17°) + i sin (17°) ] * 13 [ cos (40°) + i sin (40°) ]

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Q: The area of a rectangular wall of a barn is 132 square feet. Its length is 10 feet longer than twice…

A: area(A)=length×widthgiven A=132 feet2let width =xthere for length =2x+10

Q: Write the expression - √48 sin(x) + 4 cos(x) in terms of a sine function only. We have that √48…

A: Let's express given function in terms of sune function only.

Q: If π << π, find all values of that satisfy the equation 3 tan² 0 = Select the correct answer below:…

A: To solve the equation 3tan2θ=33tanθ , if -π≤θ&lt;π.

Q: What are the vertices of the following equation? Approximate your answer to the nearest hundredth if…

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Q: i and z2 = 1+√√3i the 22

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Q: Note that your response should be written in sentences, and logically justified to gain full marks.…

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Q: An aircraft going from Atlanta to Savannah on a heading of 126° (from north) is travelling at a…

A: Given that , The speed of aircraft = 510 miles per hour (126° from north) Speed of wind = 24 miles…

Q: 9. Simplify sec² x - 1 sec² x

A: secx=1cosxI=sec2x-1sec2xsin2x+cos2x=1