which series converge and which diverge, and if a series converge find its sum: 1.Σ 2. (-1)**1. 2" n=0 n=1

Q: Prove the identity: cos(tan-1 x)=1/sqrt(1+x2)

A:

Q: The angles of elevation to an airplane from two points A and B on level ground are 52° and 75°,…

A: To find the altitude of the plane for the given conditions.

Q: Assume that cos\theta =-(1)/(3) and \pi <\theta <(3\pi )/(2),  find the exact value of cos(\theta…

A: As we know that cosa-b=cos(a)cos(b)+sin(a)sin(b)

Q: Graph the function over a two-period interval. y = 1+ tan x Choose the correct graph below. OA. OB.…

A: This question is based on graph of tan(x) .

Q: 10. Name the theorem or postulate that lets you immediately conclude AABD ACBD. SAS ASA AAS Nore of…

A: We know that there are total four ways are available for finding two triangles congruent: SSS, or…

Q: A child returns a five-volume set of books to a bookshelf. The child is not able to read, and so…

A: Suppose a child who is not able to read returns a five-volume set of books to a bookshelf. Assume…

Q: Given the complex number z -1-V3i, find 2. Write an exact answer in polar form with 050<2.

A:

Q: Find height of h 13° 15'( h 24° 10' 1.485 m 20 m 0.945 m

A: To determine the value of h.

Q: draw the vector -u+ 2v + 4w

A:

Q: find the amplitude and period of y=-(5)/(9)sin(-(\pi )/(3)x)

A:

Q: Write an equation for the graph. 0- 2x -2- 4 -f The equation for the graph is | (Simplify your…

A:

Q: 10.5 m d 38° 391 ....

A:

Q: For the following, assume that all the given angles are in simplest form, so that if A is in QIV you…

A: Cosine angle in quadrant II is negativeCosine angle in quadrant  I is positive

Q: Pruebe que Z1 2 22 dado que AB S BC y AD es tricecado en BD y BE B I II A D E

A:

Q: 16) 28 20

A:

Q: 3 5.) (x+ 7x-44) ÷ (x+ 9)

A:

Q: Consider A ABC, where a = 7, c = 10, and m2C = 38°. %3D What are the measures of the missing angles…

A:

Q: A spherical triangle has A= 110°32.6′, B= 140°48.2′, and a= 152°18.8′. Find side b.

A: I am going to solve the problem by using some simple trigonometry to get the required result of the…

Q: or the plane curve, (a) graph the curve, and (b) find a rectangular equation for the curve. x-t° +5,…

A: Given parametric equation for a plane curve.

Q: Given f(x) = 3sin(2x + 1) on <xs-÷+. Ftnd f-'(x) and state the Range of f = R, Domain of f = D, 1,…

A:

Q: Use the method shown in the introduction to this section to solve the system of ed x + y = 2 xy = 65…

A:

Q: Find the exact expressions for sin θ​, cos θ​, and tan θ.

A:

Q: Express the given complex number in polar form z=-5*square root of 3 - 5i)

A:

Q: Use the Babylonian's formula to calculate the area of a circle with diameter of 12 units. (roundoff…

A: Area

Q: 3.) (- 2y2-14v- 5)÷ (v+ 3)

A: Using algebraic operation

Q: 1. Given f(x) = 3sin(2x + 1) on xx+ Find f-'(x) and state 2 4 -1 -1 Range of f = R, Domain of f¯ =…

A:

Q: Find the exact value of each of the following under the given conditions below. V3 5 TC <a < T; sin…

A:

Q: Solve triangle ABC. (Round the length to three decimal places and the angles to one decimal place.)…

A: answer is in next step

Q: If cos 0 = and 0 is acute, then cos 20 is

A:

Q: nd he position vector in the form of xr+ yr for the vector that starts at the point (-1, 2), ends at…

A: Given query is to find the vector ,it's magnitude and direction.

Q: 2cot 0-2sec 0--V2cot Osec 6-2sec 0 A 3x 5n 3x A) 2 4 4 2 3n 5a B) Sa C) 4 D) D. B.

A:

Q: Find the exact value of sin(u-v) given that sin u = 15/17 and sin v =12/13, with u and v in quadrant…

A:

Q: Let z1 = 5 + 3i, z2 = 5 – 3i, and z3 = 4 + 2i. Find the following. (Simplify your answer…

A: Simply add and multiply the given data.

Q: 19 180

A: Given query is to find the value of trigonometric functions.

Q: Find the angle 0 between the lines 3x 5y = 3 and 3x + 5y = 12. Enter your answer in degrees, rounded…

A:

Q: Rounded to the nearest hour, a city averages 10 hours of daylight in June, 14 hours in December, and…

A:

Q: If ?̂ and ?̂ are unit vectors that make a 75° angle with each other, calculate |3?̂ + 5?̂|   Round…

A: This question can be solved using the concept of dot product of two vectors.

Q: Ex. 1: Sketch one cycle of the sine function y = 6 sin x and answer the following questions: a. The…

A: Given

Q: Transformations of the Sine Function . Vertical Reflections and Stretches: y = a sin x et's…

A: Given problem:-

Q: The terminal ray of angle U drawn in standard position passes through (1, -3). What is the value of…

A:

Q: The length of the base of an isosceles triangle is 44.99 inches. Each base angle is 32.19°. Find the…

A:

Q: 00 2n-1 3n n=1

A:

Q: 4) Find Possible Positive, Negative or Imaginary Zeros. f(x) = x³ + 6x² + 10x + 3 %3D Count the…

A:

Q: Two radar stations 450 feet apart are monitoring the same boat located in between them. From the…

A: 2.

Q: 12. Find the first 5 terms of the sequence: 2n a, =(-1)" n +1 a) b) a, = 4a-5 and aj =1 | n-1

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Q: Find sin(a) and cos(B), tan(a) and cot(B), and sec(a) and csc(B). (a) sin(a) and cos(B) (b) tan(a)…

A: Given query is to find indicated trigonometric ratio.

Q: cos(2tan^-1 1/5) *evalutate the expression without using a calculator

A: The given expression,       cos2tan-115

Q: Use a calculator to find a decimal approximation for the following trigonometric function.   sin…

A:

Q: Let's consider a circle with centre (0, 0) on a coordinate grid .. the point P(x, y) is any point on…

A:

Q: Find the solutions to the given equation in the interval [0, 211). 2 cos 2 *+ 1 = 0 %3D

A: From the general solution of trigonometric equation: cosθ=cosα is θ=2nπ±α where α is the principal…