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Q: The following equation involves multiple angles. Solve the equation on the interval [0, 2T) V3 cos 4...

A: Given,

Q: Sketch an anglethetaθin standard position such thatthetaθhas the least possible positive measure, a...

A: We have given,An angle theta and its terminal point P(sqrt(3) , sqrt(22) ) .

Q: Solve the problem. 2) Two tracking stations are on the equator 163 miles apart. A weather balloon is...

A: Given:The distance between two tracking stations on the equator is 163 miles.The angle made by the w...

Q: without using the calculator evaluate : sin ϴ, cos ϴ, tan ϴ of a) 450° b) 10?/3

A: Since, 360 degrees + thita lies in first quadrant, so values of sine, cos and tan is positive as sho...

Q: A wheel is rotating at 4 radians per second, and the wheel has a 57-inch diameter. To the nearest fo...

A: A wheel is rotating at 4 radians per second and the diameter of the wheel is 57 - inches.Here, 1 ra...

Q: Using Calculus, it can be shown that the arctangent function can be approximated by the polynomial b...

A: As per norms, the first three parts of the questin are answered, ((c) consists of two questions) To ...

Q: Suppose the tip of the minute hand of the clock is 6 inches from the center of the clock. What is th...

A: Given that, the length of the minute hand of the clock is 6 inches.We have to obtain the distance tr...

Q: Fire tower A is x = 35 kilometers due west of tower B. A fire is spotted from the towers, and the be...

A: The distance between tower A and tower B is 35 kilometers. The angle bearing by A is 78o and by B is...

Q: thank you soo much

A: a) To evaluate OB, use the pythagoras theorem

Q: Find the coordinates and foci of the conic : 4(x+2)2 = 36-9(y-1)2 Find the equations of the asymptot...

A: Given information:The given conic equation is 4(x+2)2 = 36-9(y-1)2.Calculation:First, rewrite the gi...

Q: It’s a review question.

A: We have to find distance between two points where points is given by

Q: prove identy show steps sinx/1-cosx - 1/sinx = cotx

A: To prove the given identity, we are taking left hand side,

Q: -2 0.1 2 3 4 5 6 (a) Using the following graph of f (x)-2 to sketch the graph of F(x) = f(x-1) + 2. ...

A: It is given that the graph of f(x).Claim is to sketch the function f(x-1)+2.

Q: An airplane flying at 650 miles per hour has a bearing of 55°. After flying for 1.5 hours, how far n...

A: Find the distance travelled in 1.5 hours if the distance travelled per hour is 650 miles.

Q: How long should an escalator be if it is to make an angle of 34 degrees with the floor and carry peo...

A: We have given,Vertical distance from the floor = 24feetEscalator angle with the floor = 34 degree

Q: Rewrite the expression in terms of the first power of the cosine. Use a graphing utility to graph bo...

A: We are given trigonometric expression as

Q: A point on the terminal side of an angle θ in standard position is(−24, 7). Find the exact value of ...

A: Let x = -24 and y = 7Since r = length of line segment drawn from the origin to the point

Q: From a point 4 miles north of a cell tower, a hiker walks 2.5 miles west. How far is the hiker from ...

A: Let us first make a diagram to understand the problem better. The hiker is initially at A, 4 miles n...

Q: 8. Suppose ABC is a right triangle with side lenghts a, b and c and right angle at C. Find the unkow...

A: It is given that, ABC is the triangle with right angle at C.The length of the sides are denoted by a...

Q: Please explain the solution in a clear manner, step by step.

A: To evaluate the required quantities to the desired accuracy

Q: Solve the equation for (0, 2π)

A: Given that

Q: A company that produces wakeboards forecasts monthly sales S over a two-year period to beS = 2.6 + 0...

A: a) S = 2.6 + 0.144t + 2.2 sin( pi t/6 - pi/2) when t=1Sale for January 2014 = 84 units (after roundi...

Q: What is the domain of the function y = 3sin–1(2t)? Can you explain how to think about the above qu...

A: The given function,

Q: Find the equation of the circle shown. Write equation in standard form: * PHOTO INCLUDED BELOW

A: The general equation of a circle is

Q: Evaluate the expression exactly and completely.

A: Given information:The given expression is

Q: Find the period, amplitude, the vertical asymptotes in radians ,the phase shift, the vertical shif...

A: The function given is y=4tan(2π-π/2)-2.

Q: A force of 15 lb is required to hold a 67-lb crate on a hill. What angle does this hill make with th...

A: To calculate the angle which is make with the horizontal if the force acting on an object is 15 lb a...

Q: An airplane is 149 miles north and 87 miles east of an airport. The pilot wants to fly directly to t...

A: To find the bearing angle that should be taken by the pilot.

Q: Verify the identity sin (a B) = tan a cot ß - 1 cos a sin B

A: To verify the provided trigonometric identity which is show below,

Q: Can someone explain me how to solve this equation?

A: Let us simplify the expression given.

Q: Find the amplitude, the period in radians, the phase shift in radians, the vertical shift ,and sketc...

A: We have to find the amplitude, the period in radians, the phase shift in radians, the vertical shift...

Q: Solve the equation on the interval [0, 2x) 2 sin 20 sin0-1 0

A: We are given trigonometric equation as

Q: Write the product as a sum or difference with positive arguments

A: To calculate the sum or difference with positive argument for the provided trigonometric expression ...

Q: solve equation sin2θ = -cos2θ

A: The equation can be written as,

Q: If triangle ABC, a = 10, b = 10, and c = 40 degree. what is the value of c?

A: Given the sides of the triangle a = 10, b = 10 and angle C = 40°.

Q: Verify the equation

A: To establish the given trigonometric identity

Q: Find the exact value of the expressions cos(a B), sin(a + ) and tan(a B) under the following conditi...

A: To calculate the value of the expression cos(α+β), sin(α+β) and tan(α+β) under the provided conditio...

Q: Question in the file attached

A: By use Pythagorean Theorem to determine the side that would be adjacent to the angle.H2=P2+B2 .H rep...

Q: Draw a right triangle to simplify the given expression (Simplify your answer, include any radicals...

A: The given expression is sin(cos-1(x/2)).

Q: Solve for exactly (0, 2π)

A: Firstly, we use double angle formula which is cos2x=1-2(sinx)^2, to get a quadratic in sin (thita/2)...

Q: Please help

A: Result used:Corresponding angles of similar triangles are congruent.Corresponding sides of similar t...

Q: Seeing that the cosine is positive and the tangent is negative, in which quadrant must theta lie? Fi...

A: Here given the value of cos θ and we ned to find the value of tan θ. It is mentioned that tan θ is n...

Q: A baseball leaves the bat an an angle of theta with the horizontal and an inital velocity of v = 100...

A: According to the question, a baseball leaves the bat an an angle of theta with the horizontal and an...

Q: Please explain the solution in a clear manner, step by step.

A: Here, we have to calculate AB , where BC=108 feet and angle C=0.5 degree

Q: A one-lane highway runs through a tunnel in the shape of one-half a sine curve cycle. The opening is...

A: The equation for sine curve that fits the opening is shown on board, where x=opening length, a= ampl...

Q: Solve csc^2 (pi•x) = 1.5 in the interval (-1,1), Sketch the graph if the function showing the soluti...

A: To solve the trigonometric equation and compare the result with graphical solution

Q: Find the exact value

A: Click to see the answer

Q: how do i simply..... (\sqrt (2/37)/2)

A: We have (\sqrt (2/37)/2) . Step 1:On applying radical rule .

Q: Part (a)

A: As per the trigonometric formulae,Hence, the values of tanα and tanβ are to be calculated.

Q: On a circle of radius 10 feet, what angle would subtend an arc of length 5 feet?

A: Formula used: