PROOF =- - bc (1 – cos A) = - Use the Law of Cosines to prove that a-b+c a+b-c 2 2

Q: Use an addition or subtraction formula to find the exact value of sin 165° : VA(√B-1) 4

A: sin⁡165∘=A(B−1)4sin⁡(a+b)=sin⁡acos⁡b+cos⁡asin⁡b

Q: Prove a) cos(0+0) = COSOCOS-sinesind

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

Q: '5 dx (x2-1)3/2

A:

Q: Use a right triangle to write sin(2sin ¹x) as an algebraic expression. Assume that x is positive and…

A: By using a right triangle to write  as an algebraic expression.

Q: Two cities have nearly the same north-south line of 92° W. The latitude of the first city is 29° N,…

A: Two cities have nearly the same north-south line of 110° W.The latitude of the first city is 23° N,…

Q: ing in the direction 60 degrees west of south at a rate of 8 mph. Find the actual speed (to the…

A:

Q: An airplane descends at an angle of depression of 22" for a ground distance of 7850 feet. What…

A:

Q: Set up an integral representing the area A of the region enclosed by the given curves. x=y², x=2-y²…

A: Given Equations of the curve are as follows The Calculation for the intersection points is as…

Q: a spider is on the rim of an empty conical cup when it spies a fly one third of the way around the…

A: The objective of this question is to find the shortest path the spider has to take to reach the fly.…

Q: Evaluate the integral. (Remember the constant of integration.) 1. X X+7 + 8x + 20 dx

A:

Q: Given the triangle drawn to scale A = 21 > Next Question A 23 9 a find the measure of angle A using…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 1. 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

A: From the given graph

Q: Let v = - 4i +3j and w=-i-4j. Find 6v - 3w. 6v - 3w= (Simplify your answer. Type your answer in…

A: Let .To find .

Q: Let à = (1, -2) and 6 = (1,5). Find the angle between the vectors, in degrees.

A:

Q: Convert the polar coordinate (4, coordinates. Enter exact values. X = y II 37) to Cartesian

A: We convert the polar coordinate  to cartesian coordinates.

Q: Find csc(0), if cot (0): = csc (0) = 1 2 " within quadrant IV. Give a reduced answer in exact form.

A:

Q: For the right triangle below, find the measure of angle A.

A: GivenTriangle is right angle triangle

Q: Find the coordinates of the point on the plane curve described by the parametric equations…

A:

Q: Solve for the exact solutions in the interval [0, 27). List your answers separated by a comma, if it…

A: Sin(x/2)=Cos(x/2)

Q: You are watching a hot-air balloon that was 417 feet from you when it started rising from the…

A:

Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A:

Q: J 6x cos(5x) dx

A: I=∫6xcos⁡(5x)dxUsing the Power Rule∫xndx=xn+1n+1+C∫cos⁡(ax)dx=1asin⁡(ax)+C

Q: Yanek builds custom decks. The stairs for a customer have a riser of 180 mm and tread of 310 mm.…

A: It is given that the stairs have a riser of 180 mm and tread of 310 mm.We know, angle of elevation…

Q: Find all solutions in radians using exact values only. (Enter your answers as a comma-separated…

A: To find all solutions in radians using exact values only.

Q: Sketch the region enclosed by the given curves. x=2y², x=4+ y² 1 Find the area of the region. Ⓡ

A: Area between the curves x=f(y) and x=g(y) such that   is given by

Q: Problems 8. A forest ranger standing in a 30 m tall tower sees two forest fires. He spots the first…

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

Q: Find the distance in kilometers between the following pair of cities, assuming they lie on the same…

A: The figure

Q: Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Use the Pythagorean…

A: Trigonometric Ratio.

Q: Write an equation in the form ??=asin⁡(?(?−?))+? to model something that rotates around a fixed…

A: The objective of the question is to write a trigonometric equation that models a rotating object,…

Q: 1. Find the period of the function 2. Find the phase shift  3. Write the equation of the function

A: The given graph is shown as,

Q: 18. cos E - sec 3 3 cot 3

A: we need to find the values of the given trignometric function.

Q: This is a 45-45-90 triangle. What is the measure of x? Rationalize the denominator. X 12 x = [?]√ […

A: Consider the triangle

Q: A helicopter flies 62 miles east, then turns and flies at an angle of 45° north of east for 199…

A:

Q: -5 -4 -3 -2 -1 2 1 1 -2 -4- -5+ 3 The graph below can be represented by parametric equations of the…

A:

Q: If c = 192, ZA = 79° and LB = 54°, b= Assume ZA is opposite side a, ZB is opposite side b, and ZC is…

A:

Q: Consider the solid obtained by rotating the region bounded by the given curves about the specified…

A:

Q: A high fountain of water is located at the center of a circular pool as shown in the figure below.…

A: Circumference of the pool is Angle of elevation at the bottom of fountain is Find:Height of the…

Q: Find all solutions to 2 sin(0) = 1 on the interval 0 < 0 < 2π Ө Give your answers as exact values,…

A:

Q: arcsin (sin(58)) = [ 9

A:

Q: 4. 3. 3x + 5y ≥ 15 x-3y ≤3 X≥2 -6x + 4y ≥ 12 x + y ≤3 y ≤ 3 X≥0 y≥0

A:

Q: 에 13) COS 2 2

A:

Q: increase at the constant rate of 2ft/sec. Q6. A pebble is dropped into a pond. The radius,r of the…

A: The objective of the question is to find the radius of the ripple at different time intervals, the…

Q: Consider the following function. dx (a) Determine an appropriate trigonometric substitution. Use x =…

A:

Q: (-3, 3) and 6 = (-5, k). Find k so that a and will be orthogonal (form a 90 degree angle). Let ā = k…

A: Given, vectors a = &lt; -3,3 &gt;b = &lt; -5, k&gt;

Q: What are the unknown side lengths, to one decimal place? a) b) 71 8.4 cm W O 9.2 in. 18° Z y

A:

Q: Calculate (1-21)7. Give your answer in a + bi form

A:

Q: If g is the inverse of function f and f'(x) = sinx, then g'(x) is equal to (1) cosec{g(x)} 1 (3)…

A:

Q: 11. State the each of the following: 3πt a) the exact value of sin- 4 b) the range of the function…

A: Consider

Q: Prove the identity: 2 2 sec²x - 2 tan x 2 CS<x Sin 2x seex

A: sec2x - tan2x = 1 sinx = 1/cscx cosx = 1/secx 2sinx cosx  = sin2x

Q: 22. Use trig identities to simplify the following expressions: 22a. cot θ csc θ, 22b. csc(α) cos(α)…

A: