2. Convert the rectangle coordinate (1,-√3) to a polar coordinate (r, 0) with r>0,-2л ≤0<2.

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: We know From given graph sine equation ⇒y=-AsinBx-C+D⇒A=Amplitude ⇒C=phase shift ⇒D=Vertical shift…

Q: Evaluate the expression under the given conditions. sin(20); sin(0) = ₁ 0 in Quadrant II

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Q: Find the equation of the line satisfying the given conditions. Write the equation in the form y = mx…

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Q: Find the exact value of cot2pi/3

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Q: Find the exact value of each of the following. (a) sin(765°) (b) tan(-150°) (c) (d) csc (37)

A: We have given expressions to find exact value  (a) sin7650=sin7200+450=sin450=12 (b)…

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A:

Q: A pair of parametric equations is given. x=4sin(t) y=4cos(t) 0<t<pi Find a…

A: x=4sin(t)   y=4cos(t)

Q: (a,b) C

A:

Q: (b) If t = tan = tan = 12¹ 2' prove 1+ sinx+cos x 1+ sinx-cos x = cot N|X

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Q: Consult the figure. To find the length of the span of a proposed ski lift from A to B, a surveyor…

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Q: Using the sum of difference formulas, find the exact value of sin(285°). Express your answer in the…

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Q: 680 ft (a) Express the angle 0 as a function of the height h of the balloon. 0 = (b) Find the angle…

A: Given query is to find the Indicated angle.

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r=7 +…

A: Use polar coordinate concept

Q: What are the zeros of f(x) = 4 sinx-3 on the interval [0,2x]? The zeros are (Type an exact answer in…

A: Given query is to find the zero of the expression.

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r cos(0) =…

A:

Q: 2 sin ²0- sin 0 = 0 Select the correct choice and fill in any answer boxes in your choice below. O…

A:

Q: A clock is hung on a wall so that the center is 20 cm below the ceiling. The minute hand is 10 cm…

A:

Q: Give the smallest two solutions of cos(5θ) = -0.6979 on [ 0,2π). Separate the two solutions with a…

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Q: tch the polar equation with the graphs labeled I-VI. Use the table to help you. r = sin(40) OX III…

A:

Q: (c) Use t-formulae to find the exact value of 2 tan 11 12 ,2117 12 1-tan

A: To find the exact value of

Q: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the…

A:

Q: Find the area of the sector of a circle of radius 5 meters formed by an angle of 120°. ... The area…

A:

Q: 2. Solve the given equation. tan 0-13 tan² 0+36=0

A: The given equation is; tan4(theta)-13tan2(theta)+36=0

Q: Plot the point that has the given polar coordinates. (4.) -2 R/2 R/2 R/2 π/2 0

A:

Q: The diameter of a Ferris wheel is 155 feet, it rotates counterclockwise at 2.5 revolutions per…

A: ..

Q: the 70X 15. (-1,4)5 1+ +++ -3-2-1 (2,2) 123

A: Given query is to find the components and the magnitude of the vector

Q: Question 2 (a) Express the left-hand side of the equation cos 5x+cosx-cos3x = 0 as a product and…

A: Let's solve given trigonometric expression.

Q: Determine the range of the following function: f(0) = -10.1sine O [-1,1] O [-10.1, 10.1] O [-00,00]…

A: Question: Determine the range of the following function f(ϴ) = -10. 1 sin(ϴ)

Q: mplify the trigonometric expression. 2 + tan²(x)_ sec²(x) - 1

A: Given query is to simplify the expression.

Q: The electromotive force V of an alternating current circuit at time t can be describe by the…

A: Topic -Period of a function We are given V(t)=110sin(120πt)

Q: (b) Express the left-hand side of the equation cos 4x + cos2x = 0 for 0≤x≤ as a product and hence…

A:

Q: A rectangle is to be inscribed in a semicircle of radius 6 cm as shown in the figure bel -6 cm- Find…

A: solution:-radius, r=6 cmusing trigonometric ratiosOA=rcosθAB=rsinθ

Q: Solve the equation. Give a general formula for all the solutions. List six solutions. 2√3 ·2-23/³-2…

A: To solve the given trigonometric equation.

Q: If csc x = 4, 90° < x < 180°, then sin x/2 = ______ cos x/2 = ______ tan x/2 = ______

A: If csc x = 4, 90° &lt; x &lt; 180°, then sin x/2 = ______ cos x/2 = ______ tan x/2 = ______

Q: Cos 0 = 4 7' 270° <0 < 360° al place) a

A:

Q: A population increases according to P(t) = 230(1.03)t where t is the time in years since 2000. (a)…

A: Given:- A population increase by model Pt=2301.03t

Q: 5* (C) Despite learning the formula for sin(A + B) several of your students still maintain that sin…

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Q: (b) Solve sin 2x + cos2x = sin² x+1 for 0≤x≤ 2.

A: (b).The trigonometric equation is:sin(2x)+cos(2x)=sin2x+1            for   0≤x≤2π

Q: Solve the equation on the interval [0,2pi). 2(sin x squared) - 3sinx +1=0

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Q: Use the vectors u = (4, 4), v = (−5, 2),and w = (4, −1)   to find the indicated quantity. (u v) −…

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Q: Simplify the expression by using a Double-Angle Formula. (a) cos² (38°) - sin² (38⁰) (b) cos² (70) -…

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Q: (b) Solve sin 2x+ cos2x = sin² x+1 for 0≤x≤ 2π.

A: sin2x+cos2x=sin2x+1 Substitute the trigonometric identities  sin2x=2sinx cosx  and cosx=1-2sin2x to…

Q: Simplify the trigonometric expression. cos³(x) + sin²(x) cos(x)

A: I am attaching image so that you understand each and every step.

Q: Write the given expression as an algebraic expression in x: COS (2sin-¹x)

A:

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

A: Concept: Sine law sinAa=sinBb=sinCc Where A , B , C are the angles of the triangle and a , b, c are…

Q: Find the measure of the reference angle for each measure of 0. (3 points each) 28) 0 = 165° 29) 0 =…

A: CONCEPT When the terminal side is in the first quadrant (angles from 0° to 90°), our reference angle…

Q: sin 20; sin 0 1 in Quadrant II

A: Given query is to find indicated angle.

Q: a) 2 sinx-√3 = 0

A:

Q: Complete the sentence below. If the radius of a circle is r and the length of the arc subtended by a…

A: Given: Length of the arc subtended by the central angle = r            Radius of the circle =r  To…

Q: A building that is 360 feet tall casts a shadow 60 feet long. What is the angle of elevation of the​…

A: Given: Height of Building, B = 360ft Length of shadow, S = 60 ft