For each equation below, first identify the amplitude and period and then use thisinformation to sketch one complete cycle of the graph.  y = -3 cos x

Q: a) Calculate the length of arc that subtends a central angle of measure 0 = 40° on a circle of radiu...

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Q: Find the exact value. Given that sin 0 = - with 0 in quadrant IV, find cos 20. %3D 25

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Q: To find the distance across a river, a surveyor choose points A and B, which are 226 m apart on one ...

A: Given, <A = 86o <B = 50o AB = 226m So, we know sum of all angles of triangles is 180o So, <...

Q: Two planes take off at the same time from an airport. The first plane is flying at 285 miles per hou...

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Q: Use the tabie of vaiues to evaiuate the f(e) g(x) 15 12 19 2 4 2 g(6)) 9{(7)) %3D %3D 9(9(8)) %3D 00

A: From the given table  When x=6, g(6)=4, and f(6)=1      

Q: Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer...

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Q: Please explain each step

A: Given: cos4θ-cos2θ=sinθ we know that cosC-cosD=2sinC+D2sinD-C2                                   ..1

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Q: Given the equation y = - 2x - 3 The a intercept is: The y intercept is:

A: Given: y=-2x-3

Q: 3sin(2x−6)=1

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Q: Write complex number in standard form Z=6cis135 degrees

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Q: Fliminate the following. the parameter ) from x(H=2Sint (+)=5 cosf

A: Given, x=2sint        .....(1)y=5cost       .....(2) From equation (1) and (2) sint=x2         .... ...

Q: If sec ? = 16/5, find sin ?.

A: Given,            secθ=165

Q: The triangles below are similar. Find the value of x. 30 27 20 21 a) O 40.5 b) O 14 c) O 18 d) O 31....

A: The condition for the similarity for these two triangles is given by, perpendicularperpendicular=hyp...

Q: After putting the equation into one of the two forms for the parabola, find the focus and directrix ...

A:             Given:The given equation is x2+6x-12y+33=0To find:we have to find the focus and directri...

Q: A river is flowing due east at 5 mi/h. A man heads his motorboat in the direction N 30° E in the riv...

A: Sketch the figure and resolve the vectors.  

Q: give a step-by-step explanation. I want a very detailed step like I'm explaining to a child.

A: Given: Diameter of Ferris wheel = 20 feet Wheel makes 2 revolutions per minute.  Height of car on Fe...

Q: Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. 25x2 − 4y2 =...

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Q: 63. (Modeling) Railroad Curves In the United States, circular railroad curves are desig- nated by th...

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Q: 2 Find the maximum and minimum values for f(x) = . Determine the -4 + cos x+ V3 sin x angles at whic...

A: Consider the  given function fx=2-4+cos x+3  sin x The value of the function at the endpoints of the...

Q: PRACTICE ANOTHER   A 51-foot wire running from the top of a tent pole to the ground makes an angl...

A: you can clearly understand if you follow the below solution

Q: The smallest positive number for which tan(3z) = 1 is z = .The next larger such number is z =

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Q: Find the solutions to the system of equations. Sx²+4y° = lx+2y= 6 4.

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Q: 3. Find an equation for the hyperbola with center C(0,0), foci F(0,±9), and vertices V(0,+7).

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Q: Find 4u, -5v, u + v, and 5u 3v for the given vectors u and v. u = i+ j, v =i-j 4u = -5v = u + v = 5u...

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Q: Which angle is coterminal with 1600 ?a. 5000 b. -700

A: Given angle is 160°

Q: prove tan(x/2)= tanx/secx+1

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Q: Write each equation in polar coordinates. Then isolate the variable r when possible.   x2 +y 2 = 6x

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Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 27). (Enter your answe...

A: Consider the given trigonometric equation, cos2θ+7cosθ=8 use the double angle formula of the cosine ...

Q: Question 22 Write the equation of the circle centered at (1, 2) that passes through (- 20, 20). Ques...

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Q: 10. Find the amplitude, period, phase shift, and graph at least one complete cycle for y=3sinx+- 2 4...

A: Given: y = 3 sin12x +π4  To find: Amplitude Period Phase shift

Q: Use the parameter t to write parametric equations representing the given curve.  Line passing throug...

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Q: Two guy wires from the top of a 33-foot tent pole are anchored to the ground below by two stakes. Th...

A: Given, Height of the pole = 30 feet Angle of depression of the two stake  = 46° and 42o  Now, making...

Q: Hello, can anyone help me and why I got this one wrong, please?

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Q: Three Concrete Slabs. Suppose there are three concrete rectangular slabs standing or resting on leve...

A: Given-  To find-  The height of slab 2 and the length of slab 3. Concept Used- Using proper trigono...

Q: Rewrite the expression 4 sin 7x cos 3x as a sum or difference, then simplify if possible

A: The given expression is 4sin7xcos3x. Identity used: sinacosb=12sina+b+sina-b

Q: Arc Length The minute hand of a clock is 4.5 centimeters long. How far does the tipof the minute han...

A: We have, the minute hand of a watch is 4.5 cm long, thus r=4.5 cm. We know that, arc length l can be...

Q: Solve the equation for exact solutions over the interval [0, 2n). 2 sin2x = sin x

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Q: Write each of the following in terms of cos theta only.   cosec  theta

A: We know that, cosecθ=1sinθ                     ⋯⋯1sin2θ+cos2θ=1sinθ=1-cos2θ         ⋯⋯2

Q: Simplify the following using the fundamental trig identities. Hint your answer will contain only one...

A: Given: tanx−cotxtanx+cotx

Q: Solve the equation for solutions in the interval [0, 2n). sin 2x + sin x = 0

A: Given, sin 2x + sin x = 0 We know, sin 2x = 2sin x.cos x   2sin x.cos x + sin x = 0. sin x(2cos x + ...

Q: After a wind storm, a farmer notices that his 29-foot windmill may be leaning, but he is not sure. F...

A: As per the given information, the triangle would be