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Q: For triangle XYZ, find angle Y given side x=2.5cm, y= 15.0cm, and z=4.5cm

A: Given three sides of the triangle XYZ, x = 2.5 cm, y = 15 cm and z = 4.5 cm.Recall the properties of...

Q: Two angles in standard position that have same terminal side are

A: by the definition of coterminal angles

Q: thank you soo much

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

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

A: To evaluate the required quantities to the desired accuracy

Q: Linear Speed on Earth Earth rotates on an axis through itspoles. The distance from the axis to a loc...

A: It is given that, the radius of the spinning circle is 3033.5 miles.

Q: Fill in the blanks so that the resulting statement is true. The point P on the unit circle that corr...

A: We know that  any point on the circle of radius r corresponds to t is ( rcost, rsint). Here r=1. The...

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

A: The general equation of a circle is

Q: Solve the equation on the interval [0, 2t). 2 sin 20 sin 0-1 =0

A: obtain the solution of the equation as follows.

Q: Find the exact value

A: Given information:The given expression is .

Q: Find the exact values for the unknown sides. You can find the sides in any order.Use the green box a...

A: The diagram is on the board . First we use sin 60 = a/24, and solve for b .Then we use cos 60=a/24 a...

Q: Find the exact value

A:

Q: A point on the end of a tuning fork moves in the simple harmonic motion described by d = a sin ωt. ...

A: We have to find value of omega(w) from given sine function.

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: 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: A Global Positioning System satellite orbits d = 15,500 miles above Earth's surface (see figure). Fi...

A: Consider the given figure.

Q: Evaluate  cos(2 arcsin 1/4)

A: Let us suppose that arcsin1/4=x, that is sinx=1/4, then we use formula for cos2x ,which is cos2x=1-2...

Q: Using a graphing utility to approximate the solution (to three decimal places) of the equation in th...

A: To solve the given trigonometric equation with a graphic utility to the desired accuracy 

Q: Question 5. Find the measure of each amgle in the triangle below?Question 6. Express the Angle x in ...

A: we have to find value of x by triangle propertiespart-1

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

A: Given information:The given expression is

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

A: We are given a trigonometric expression as 

Q: A tube of lip balm has a height of 2.75 inches and a diameter of 0.75inches.  a. if the cap on the t...

A: Part (a):Diameter of the lip balm tube, d = 0.75 inches. Thus, the radius of the tube is r = d/2 = 0...

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

A: Firstly, we calculate the value of H , by using sine of angle=height/hypotenuse as shown on board.

Q: Find the values(s) of θ in [0*,360*), where sin θ = -.5441, Write the answers in positive degrees co...

A: Calculation:The trigonometric equation is sin (θ) =-0.5441.Solve equation sin (θ) =-0.5441 as follow...

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: solve this equation, csc2θ - 2cot θ = 4

A: The given equation is csc2θ – 2cot θ = 4.

Q: Find all solutions to the following equation 8 sin 0 16 sin 0

A: The equation is given by

Q: Write the trigonometric expression as an algebraic expression

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

Q: a window pane has dimensions of 30 inches by 22 inches. If glass sells for $0.80 per square inch, ho...

A: Please follow the steps as on the board.

Q: The position of a weight attached to a spring is s(t)=-6cos(4pi*t) inches after t seconds. What is t...

A: To calculate the maximum height when the weight rises above the equilibrium position, time for which...

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

A: Given, 

Q: Convert the Cartesian coordinate (6,-5) to polar coordinates, 0≤θ<2π. r = (enter exact value) the...

A: Let (x, y) is a Cartesian coordinate.The relation between Cartesian coordinates and polar coordinate...

Q: Please help

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

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: Did exact value using half-angle identities  a) sin 22.5° b) cos75°

A: to evaluate the (exact , using radicals, etc) values of the given trigonometric ratios using standar...

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

A: We have to find value of given trignometric function.Question is given below:

Q: converting 2 pi/3 to degreesconverting 400 degrees to radian

A: pi radian = 180 degreesHence, 2pi/3 = 120 degrees

Q: The radius of the tires of a car is 18 inches, and they are revolving at the rate of 673 revolutions...

A: To find the circumference of the tyre.

Q: Establish the identity sin (α+ β) sin (α-β) tan α + tan β tan α-tan β Choose the sequence of steps b...

A: sin (alpha + beta) = sin (alpha) * cos (beta) + cos (alpha) * sin (beta)

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

A: Given figure is: Labelling the vertices,In any triangle, the sum of angles is 180°Also, the sum of a...

Q: Find the exact value

A: To calculate the value of tan(α/2), where the value of cosα=-(8/17) and the limit of α is π≤α≤3π/2. ...

Q: Two pulleys, one with radius 2 inches and the otherwith radius 8 inches, are connected by a belt. (S...

A: From the given information it is observed that, each time the pulley goes around and the belt was ad...

Q: sin2x+sin2xcot2x

A: We have been given a trigonometric expression that we need to simplify.

Q: how do you determine coterminals?

A: They are obtained by adding and subtacting 360 degrees

Q: The length of an arc in a circle of radius r, subtended by an angle theta is given by s=rtheta Where...

A:  Let the letter s symbolize the length of an arc, which is called arc length.An arc "subtends" an an...

Q: If two angles of a triangle have radian measures9π and 38π , find the radian measure of the thirdang...

A: The sum of 3 angles of a triangle=piLet the third angle be x.

Q: Use an identity to write the expression as a single trigonometric function or as a single number 4 s...

A: To express the given product of trigonometric functions as a single (simpler) function

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: 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)).