then A-wL Show that Ucri@) = Lojr Where the natural Log 1S USed is harmonic then find a harmonic Conjngate

Q: ) Prove cot 2 = tan u using the addition/subtraction formulas.

A: Given : cotπ2-u= tanu

Q: Express 10 sin 45 as a number which is (a) Three significant Figures. (b) Three digits after the…

A: Topic- simplification

Q: 1 + sin 0 1 + sin 0 1 - sin 0 |cos 6|

A:

Q: Determine a two term expansion for the large roots of x = tan x and rtan x = 1.

A: "According to the guidelines we will solve first question. Kindly repost second question…

Q: Verify the identity. sin (7x) – sin (3x) = - cot (5x) cos (7x) - cos (3x) ..... Start with the…

A:

Q: Locate and identify the absolute extreme values of a. ln (cos x) on [-pai/4, pai/3], b. cos (ln x)…

A: a.Given:

Q: 4. Derive general formula for finding where Na natural number using Newton's Method and use it to…

A: We need to find the iterative formula for 1N "where N is natural number" using Newton's method. Let…

Q: Find the six trigonometric functions of  if  is in standard posi-tion and the point (-2, 3) is on…

A: The six trigonometric functions are:

Q: Find the upper bound on the error if tan '(2x²) × 2x² and þx|< 0.2

A: In this question, we find the error bound for the given expansion tan-1(2x3)≈2x3 for |x|&lt;0.2 We…

Q: 2. Prove that 1-2cos'x-sin x cos x (tan x-cot x) 3. A sine function has an amplitude of 5 and a…

A: Topic:- trigonometry equations

Q: 11. Prove that cos(sin^-1x)=sqrt(1-x^2) for -1<=x<=1.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find an expression for the nth tion for the function cosh r

A:

Q: Chapter 6, Section 6.3, Question 012 Use the Fundamental Theorem to evaluate the definite integral…

A: Given,

Q: Assume that sec(0) = -where -2n < 0 <-T. a) Find cot(0) using trig identities.

A: a We know cotθ=1tanθand tan2θ=sec2θ-1So, cotθ=1sec2θ-secθ=96Thus cotθ=1836-1=14536…

Q: In the given question, verify the identity:-   cosh2 x =- 1 + cosh 2x/ 2

A: To verify: cosh2x=-1+cosh 2x2

Q: Write in sin (arccos(3x)) with x in [0, 1/3] as an algebraic expression in x.

A: We have to find sin (arccos(3x)) with x in [0, 1/3] as an algebraic expression in x.

Q: A sine function has an amplitude of 3, a period of n, and a vertical translation of 1 unit up. If it…

A: We have formula y=Asin(B(x+C))+D                        (1) Where A is amplitude, 2πB is period, C…

Q: Show that 1 + cot2 X = cosec2 X

A: 1 + cot2 X = cosec2 X

Q: Find the exact value of the expression whenever it is defined.arctan 0

A: tan-10

Q: sin 3) Prove licen

A:

Q: Express Ln(z) in the form a + ib. (Simplify your answer completely.) Saman In(2)+1(-)

A: Given a complex number z=4-4i To express lnz in complex form.

Q: Show that the equation sinx - 3x +1 = 0 has exactly one real root. Tips: Use the Intermediate Value…

A: Introduction: Intermediate value property is a very important property that is shown by a continuous…

Q: In estimating : cos(4a)da using Trapezoidal and Simpson's rule with n = 6, we can estimate the error…

A: ∫-12cos (4x) dx To Find: Estimate the integral using Trapezoidal and Simpson’s rule with n = 6 using…

Q: Use the result of Example 7 to compute arctan 0.2 correct to five decimal places.

A: Given that: arctan0.2

Q: Show that given that z = sin-12 дхду дудх

A:

Q: find the fourier series for the half-Period sine of the function fx) = sinx inthe period 8. xx Then…

A: Given that, f(x)=sinx in the period 0&lt;x&lt;π. ∫n=1∞1(2n-1)2(2n-1)2. The objective is to evaluate…

Q: 6. Use the identities to find cscx and cotx if secx =7 and sinx < 0. Show all work.

A: Solve question number 6 as asked by the user .

Q: Verify the identity by transforming the left-hand side into the right-hand side a. (1 + sin θ)(1 -…

A: Given, We have to proof a. (1 + sin θ)(1 - sin θ) = 1/sec2 θ b. log tan θ = log sin θ - log cos θ

Q: Show that cos bx = (eibx +e-ibx) and 1 sin bx :(eibx – e-ibx). 2i

A:

Q: Use the De Moivre's Formula Prove: Express tan 40 in terms of tan e.

A:

Q: Graph the function over a 15) y = 4 + 2 sin(x - 7) one-period interval. %3D

A: Given: y=4+2sinx-π for graph given function, first we simplify it so, y=4+2sinx-π=4+2sin-π+x…

Q: sin100

A:

Q: 2COTX Prove that Sin2x is an identity || csc2 x

A: we use the property of trigonometric function to shoe the result

Q: In|tan 0| = In|sin 0| – In|cos 0| -

A: Use properties of logarithm and trigonometric identities tos solve this problem.

Q: In estimating / cos(2æ)dæ using Trapezoidal and Simpson's rule with n = 8, we can estimate the error…

A: Given function is, ∫-16cos2xdx For n = 8.

Q: 3. Find a positive root of cosx - xex = 0 upto four decimal places, using Newton-Raphson mehtod. %3D

A: I am attaching image so that you understand each and every step.

Q: Suppose th Such that Passes thro Sine3=

A: It is given that the angle θ is in standard position and it has the least positive measure passes…

Q: Express rad in degrees.

A:

Q: 4. As 0 increases from 90 to As ð increases for 180 to 270 degrees, describe the value of Cosine…

A: here we discuss the , some degree to describe the value of cosine and sine over the interval . cos…

Q: Verify the identity. sin (7x) - sin (3x) = - cot (5x) cos (7x) - cos (3x) Start with the numerator…

A: As we know that; The trigonometric identities: 1). sinA-sinB=2cosA+B2sinA-B22).…

Q: Verify the identity. 9 cos(sin ¹ x) = √81 - 81x² = 8 = x = . Thus, Let 8 = sin-¹ x = sin 8 = x 9…

A:

Q: The fundamental period of the function f(x) = sin 5x is . %3D Select one: True False Nextp

A: The given function is fx=sin 5x. The period of a function of the form sinax+b is given by 2πa. Here,…

Q: 3) In (1+ Sin x)

A: Explanation of the answer is as follows

Q: Prove the identity: sinh2x=2sinhxcoshx

A:

Q: a. Show that y = tan u increases on every open interval in its domain. b. If the conclusion in part…

A: (a)  Given,

Q: Each gives a value of sinh x or cosh x. Use the definitionsand the identity cosh2 x - sinh2 x = 1 to…

A: Since, we have been given that cosh x=135, x&gt;0  -(i)Our Aim is to find the values of the…

Q: O Cos2 : log (27e-i) @ Tani'z= į log ) Hical prove that O cos

A: we have to prove that   cos-1z=1ilog[z+z2-1]   let cos-1z=w...... (i)    ⇒z=cosw..... (ii) now we…

Q: The equation that governs the frequency of vibration of a cantilever beam is of the form cos x cosh…

A: The equation governs the frequency of vibration of a cantilever is given by cosxcoshx=-1. We have to…

Q: Evaluate Le sin at 2)

A: In the given problem we have to evaluate…