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Q: csc2θ - 2cot θ = 4

A: To find all the solutions of the given trigonometric equation

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: Sin theta= 0.52991926Instructions are on the image*Find the 2 angles in the interval [0 degrees, 360...

A: First we take sine inverse on both sides and with the use of calculator, we find the value of theta.

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: 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: 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: 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: Trigonometry Question

A: Formula used:1) loga - logb = log(a/b)2) loga = logb then a= b

Q: thank you soo much

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

Q: delete tab (b) Sketch a graph of g (x)x - 2)3 3. enter 2 aps lock retur -1 6-5-4-3-2 216 . 213 2 3 2...

A: (b)Obtain the graph of the given function as follows.Substitute some positive and negative values fo...

Q: Use identities to find the value of the expression

A: Calculation of sec(theta):we can use formula sec(theta)=1/cos(theta)

Q: simplify-cos01+cose 1+cose 4cof 1 cose

A: Given,

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: 1. Find the exact value of x in the figure.8. Suppose ABC is a right triangle with side lenghts a, b...

A: As there are more than 1 question, we’ll answer the first question since the exact one wasn't specif...

Q: How do I express radian decimals in terms of pi???

A: We have,π radians = 180 degree1 radian = 180/π degreeThis is the way of converting angles from radia...

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: Question in the file attached

A: using half -angle formula with proper sign attached.( taking into account the quadrant )

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: How long of a ladder is needed to reach a windowsill 50 feet above the ground if the ladder rests ag...

A: So we have to find how long of a ladder is needed to reach a windowsill 50 feet above the ground if ...

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

A: Given,

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

A: Formula used:

Q: simplify as much as possible (tan x - sec x )2

A: We have trigonometric expression as

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: Solve the equation for (0, 2π)

A: Given that

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: 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: 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: 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: Caluculate the square root of (2+4i). Give your answer in form a+bi. Give the solution with smallest...

A: We have to find square root of complex number(z).z is given below:

Q: Please explain how.

A: We have given a function f(x).

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: 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: Write the following numbers in the polar form reiθ, 0 ≤ θ < 2π. a.) 1/4 b.) 8 + 8i c.) -4 - 4i ...

A: a) Firstly, we express both sides in the form a+ib and then compare the real part and imaginary part...

Q: Two forces of 468 Newton’s and 561 newtons act on a point. The result and force is 999 newtons. Find...

A: To calculate the angle between two forces which was acting on a point. The provided value two forces...

Q: find tan A and sec A, if A is an angle in standard position with the terminal side is defined by the...

A: First of all we can plot the given point on coordinate axis and draw a relevant triangle for angle A...

Q: sin(t)-cos(t)=cot(t)

A: Given problem is sin(t)-cos(t)=cot(t)

Q: cosx= -0.173648177

A: The equation is given as

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

A: The equation is given by

Q: Give the equation of the graph obtained from y = 3sin πx by applying the translation (–1, –2). Can...

A: First, we apply the horizontal shift -1. This means the graph moved 1 unit left. For c units left f(...

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: 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: using calculus, it can be shown that the arctangent function can be approximated by the polynomial b...

A: The given function and its approximated polynomial are

Q: How do you convert the angles in radians to degrees.

A: Click to see the answer

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

A: Consider the given figure.

Q: Simplify the expression completely

A: Given expression is: Using the definitions of trigonometric functions: Plugging the values of tan(x)...

Q: How do you convert miles to radians

A: The diameter of the wheel is given as 24 inch. So, the radius (r) =12 inch.

Q: Find one solution for the equation. Assume that all angles involved are acute angles.Find the value ...

A: Let suppose theta=x

Q: Verify that each equation is an identity cot(2x)=(csc(^2)x -2)/2 cot x

A: To prove that the given equation holds for all the values of x (wherever well defined)

Q: In the right angle triangle ABC, (C=90*). If A=62.5*, a=12.7m. Solve for c and angle B correct to ne...

A: Given:In triangle ABC, the measure of angle C is 90˚ and the length of a is 12.7m with the measure o...