Findue + y :given that ulxiy) tan (x³ +263X²+263Y") V263 -x²- ya

Q: A func tion f is given. sin 4x f(x) 2x Describe the behavior of the function as x→t0.

A: The given function is,

Q: 1- tanhx = sech x

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

Q: Express tan a using x. 3

A: We have the right-angled triangle. Let us label the small triangle ABC, the big triangle ABD and the…

Q: Q2. Prove that sec2(tan-x) = 1+ x?

A:

Q: find maclurin formula in the fourth degree for f(x)=secx

A: To write the maclurin formula in the fourth degree

Q: 2 (tan²x + 1)√sin2x.dx= (tan², 0

A: Find your answer below

Q: EX-15- Prove that : a) Sec-'x= Cos- ! b) Sin-' (-x)=-Sin-'x

A:

Q: 4 tan(x) sec2 (x) tan(x) + 1

A:

Q: Use the Intermediate Value Theorem to show there is a root of the equation tan(x)=x in the interval…

A: Intermediate value theorem : Suppose that f is continuous on the closed interval [a, b] and let N be…

Q: Determine a root of f(x) = 2* +3 cos(x²)-2 with 10-3 accuracy.

A: Given :f(x)=2x+3cosx2-2

Q: 2sin x -1 y = cosx +2

A: Basic identities of trigonometry and differentiation are used

Q: Prove using the IVT. tan-1x = cos-1x has a solution.

A: Given :                      tan-1 x = cos-1 xSolve :                     tan-1 x = cos-1 x…

Q: Exercises To Solve [No.5] Lim 5 9-5 dx -x²8x-15 D "Cosx dx Sin x+25inx+5 b

A: 5)  Let , I = lima→5 ∫a-4 dx-x2 - 8x - 15 Let , us simplify denominator first ,  -x2 - 8x - 15 = -x2…

Q: find 0 if tan 0 = v3 and 0 terminates in QIII with 0 < 360°

A:

Q: Find tan 0 if sin 0= 1/4 and 0 terminates in Q1

A: Given, θ terminates in Q1 So, tan θ i s positive

Q: Find the first four nonzero terms in a 6y"-(cos x)y'-y = 0; y y(x) = +... (Type an expression that…

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Q: 2. * 1 Add File 3. * 1 y = tan x + =tan³x 3 4. * y = = cos x 1 Add File y 1 cos³x 3 1 cosx

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Q: (B) Evaluate tan (3x +1) sec³(3x +1) dr

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Q: If f(x) = 2 tan-'(8 sin(4x)), f'(x) =

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Q: s nip

A: Consider the provided function, fx=sin2x=1-cos2x2  for 0≤x≤2π Draw the graph of the function using…

Q: find solution set of tan-1x-cot-1x=cos-1(2-x)

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Q: How does ±√((csc^2x-1)/(csc^2x)) equal on of these: secx, cosx, sinx, tanx, cotx, cosx, or 1

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Q: what is the general solution for -1=2tan(x) + tan2(x)

A: Simple calculation of trigonometric ratio

Q: Evaluate sec z tan a da- 0. 114

A:

Q: If () Z = tan || then 2z sin x 1+ z2

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Q: 5) f(x) = tan [In{sin(15x - 30)}] %3D

A: For this problem we have to apply derivation to each term.

Q: Q1 : limx¬1 x(1 – cos-)

A: To find the limit

Q: Y= 5-e- COSX by %3D

A: Given: y=5-e6y=cosx( This question is don't have to specify word  find  and how to find the answer)

Q: Is ƒ1x2= sin-1 x an even or odd function? Is ƒ′1x2 an even or odd function?

A: We have  f(x)=sin-1x Consider any odd function   y=f(x)   Then taking its inverse: x=f−1( y )∴…

Q: 10. tan'x sec x dx

A: Given query is to find the value of the integral.

Q: find x sin-1(1-x)-2sin-1x=90 degree

A: sin-1(1-x)-2sin-1x=90 degree

Q: Use the intermediate Value Theorem to show that the folowing equation has at least TWO distinct…

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Q: lim, 0 6 tan² (5x) 15x²

A:

Q: prove that cos^2 x/2= tanx+sinx/ 2tan x

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Q: Perform the integration:[-cos 6x0dx tanx-x+C 1+cos 6x A. c. tan3x-x+C B. --tanx-x+C D. tan3x-x+C

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Q: Prove that? 2tanX tan 2X %3D 2 1- tan x

A: Given : 2tanx1-tan2x = tan2x

Q: lim,-o-cos(2.x) →0°sin²(3x) Q6- Evaluate:

A:

Q: Sketch and Evaluate 27 sin 77x² - dx dy x2 Jo

A: consider the equation

Q: Example : Find an approximation to zero of tan(nx) – 6 = 0, in [0, 0.48]by Secant Method.

A: To approximate the zero of f(x) using secant method.

Q: Find generul solution ý +y tan (x) = see (X) - sec %3D

A:

Q: If secA=x+1/4x ,prove that secA+tanA=2x or 1/2x

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Q: Show and briefly explain your steps to find the exact con [tan-+ sin (-) „y the 1 1 5 + sin value of…

A: Given that: costan-112+sin-1-213

Q: 4-y+ tan x y = cos2x %3D

A:

Q: Q1) Solve:- 1) lim x-2n 2x-4n 2) lim X(1-cosx) x-0 tan(tan2x)

A: 1)

Q: 2x,given  tanx=2 and cosx>0

A:

Q: Prove the identity : sin(x-y) tanx- tany Cosxcosy

A: Consider, tanx-tany=sinxcosx-sinycosy=sinx cosy-cosx sinycosx cosy=sinx-ycosx cosy…

Q: Evaluate:- x+2 sin x 1: lim Vx +2 sin x +1-Vsin? 40 einf

A: Since you have asked multiple questions in single request.so we will answering only first question.