Find the specified quantity. Explain the vertical translation. Find the vertical translation of \( y = -2 + \sin \left( 3x + \frac{\pi}{6} \right) \).

Q: Convert -390 degree  to radian measure. Write your answer as an exact value.

A:

Q: Use addition of y-coordinates to sketch the graph of each of the following between x =0and x = 4p.  ...

A: Given: y=13x-cosx,   0≤x≤4π

Q: Determine an appropriate viewing rectangle for each function, and use it to draw the graph. = tan 25...

A: Given: y=tan 25x To Determine: An appropriate viewing rectangle for the given function. Graph the gi...

Q: Area of a Sector A central angle of 2 radians cuts off an arc of length 12 inches.Find the area of t...

A: Given: Central angle of sector of a circle =2 radians Length of arc=12 inches We know that if centra...

Q: Find all solutions to the following triangle. (Round your answers for the angles B, C, B', and C' to...

A: A=63°, b=6.7yd, a=6.2 yd

Q: To estimate the height of a tree, one person stands due north of the tree and a secondperson stands ...

A: As the distance between the tree and the two people are equal thus let the distance between the tree...

Q: 2. Write the domain and range and determine whether the relationship given in the mapping is a funct...

A: According to the question, we have to write the domain and range of the relation and check that whet...

Q: Show all steps

A: 6 tan2x + 13 tanx - 5 = 0       on  x ∈ [0, 2π)=>  6 tan2x + 13 tanx - 5 = 0=> 6 tan2x + 15 ta...

Q: Which statement is possible for some real number z ?       sin z =2

A: Given: sin z =2

Q: Trigonometry Question

A: Given:   sinθ cosθ secθ cotθReciprocal Identities:secθ=1cosθtanθ=sinθcosθcotθ=1tanθ=cosθsinθ

Q: 71-78 · Even and Odd Functions Determine whether the func- tion is even, odd, or neither. (See page ...

A: The given function is f(x)=x2sinx   known fact: A function f is even if and only if f-x=fx for every...

Q: Find sin(-theta)

A: Given,     sin θ  = -18

Q: Find all exact solutions on [0, 27). (Enter your answers as a comma-separated list.) 2 sin(40) = V2 ...

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

Q: Use a calculator to find each of the following. Round all answers to four places past thedecimal poi...

A: Concept:   The trigonometric ratio are ratios, sine, cosine, tangent, cosecant, secant and cotangent...

Q: Write each of the following in terms of sin theta and cos theta; then simplify if possible.   sin th...

A:

Q: Sketch the graph from x = 0 to x = 4p.       y = sin  x - cos x

A: Given function y=sinx-cosx.  

Q: Simplify the absolute value in 2 )sin u) if u = cos- 1 x/2for some real number x.

A:

Q: Use the given information and a calculator to find theta to the nearest tenth of a degree if0 degree...

A: cot theta = -0.7366                0 degree < =theta   < 360 degree cot θ = -0.7366           ...

Q: In a right angled triangle, the area of thesquare on the hypotenuse is the sum of theareas of the sq...

A: In a right angled triangle, the area of the square on the hypotenuse is the sum of the areas of the ...

Q: Pac-Man Figure 17 shows an image of Pac-Man from the classic video game.The “mouth” of Pac-Man forms...

A: Given angle of open mouth 55o radius= 4mm

Q: Find the area of the sector formed by the given central angle theta in a circle of radius r

A: Area of sector is given by:

Q: Graph one complete cycle of each of the following. In each case, label the axes accurately.   y = 1/...

A: To Determine: Graph one complete cycle of each of the following. In each case, label the axes accura...

Q: State the formula for a circle with center (h, k) and radius r.

A: A circle is the set of all the points that are at a distance of r (called as radius) from the point ...

Q: Evaluate without using a calculator.     sin    -1 ( sin pi/6)

A:

Q: Graph one complete cycle of y = 1/2 sin 3x. State the amplitude and period.

A: Graph of y=12 sin3x. Also to determine amplitude & period.