Suppose that a trigonometric curve is defined by the equation f(x) = 3-4 sin(2x + k)° 0≤x≤ 360° where k is a constant such that -90° ≤ k ≤ 90°. Suppose that the curve passes through the point with coordinates (15, 5 a) Find the value of k.

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A: To solve the following problems.

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A: Here  a=(12)1+1=14 r=12

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A: The complex number is 10-i.

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Q: 7) Amplitude: 2 Period: 3 Vertical Shift down 1 unit

A: Amplitude =2 Period =pi/3 Vertical shift down one unit.

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A: Given that Vertices of the ellipse is (9,0) and (-9,0)  Length of minor axis is 10 units

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A: AB=32+42=5sinθ=35cosθ=45tanθ=34

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A: G(x) = sinx  v(x) = 16sin (8x)

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A: given ladder height is 40 ft.given angle between ladder and ground is 48 degree

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Q: Use mathematical induction to prove the following: n²(n + 1)² 4 Σņi³ = 1³ + 2³ + 3³ + ... +n³; Note:…

A: ∑1ni3=13+23+33+...+n3=n2n+124

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Q: Q.7 If csc Θ = 515, what is sin Θ?

A: Sine ratio is equal to 1 divided by cosine ratio. That is sinθ=1cscθ

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A: Graph

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A: 1/2sinx-sqrt3/2cosx  We have to write it in form of Asin(x+c).

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A: Acute angle =  34°30' hypotenuse measures =  21.25

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A: She has 104 feet of string out to one kite and 110 feet out to the other kiteand angle formed by the…

Q: tan (x + pi/4) = −root 3.  Also solve for n = 0, n =1, n = -1, n = 2, n = -2

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A: Given: A triangle is defined by the points (-3, 5), (0, 0) and (4, 1). We are required to: Determine…

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A: Given: sinα=513, π2<α<π We are require to find: a. sinα2b. cosα2

Q: Consider the following triangle. B = 129°, C = 26°, a = 16.8 Determine whether the Law of Sines or…

A: Use the rules of sine in triangle