Test the Converyency of Ź tan )

Q: sin z In(sec z) dr

A: Answer and explanation is given below.. For 17 and 18 please repost the questions

Q: verify that cos(x+y)/cos(x-y) is = 1-tanxtany/1+tanxtany please show steps

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Q: tan x csc² x-tan x sin x tan +cos x cos² cos? x csc x Prove Show all work to receive credit

A: Apply the basic trigonometric formulas and simplify the terms.

Q: Show that cosh t + sinht = e and cosht - sinht = e. Hence, show that cosht- sinht=1. Deduce that…

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Q: sec z 47. tan z tan z

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Q: If tanx=sinha prove that a=ln(secx+tanx

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Q: 4. у %3D sec^0 - tan'ө

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Q: 2-tana 11. If Sin(x+ a) = 2Cos(x - a); prove that : tan x = 1- 2 tan a

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Q: 2

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Q: Find the fourier transform of x*arctan(x) x*tan^-1(x)

A: Solution of the problem as follows

Q: find the given limits

A: The given limits,

Q: Estimate the values of limit (tan 2x)/(sin x) as x approaches 0; Estimate the values of limit (tan…

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Q: secl tann

A: Use first principle rule and prove that  dydx=sec x tan x, if y=sec x

Q: '1+tanx Evaluate the integral 1-tanx dx A In sinx-cosx + C B -In cosx+sinx + C C -In cosx-sinx + C D…

A: Here, to evaluate: ∫1+tan x1-tan xdx

Q: sin40 Prove 8cos 0 – 4cos0, show preliminaries to perform sino

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Q: (sin z)(sec z+ cot z) da

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Q: integral arc tan(4t)dt

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Q: 9. Establish the identity 1- sec 0 tan 0 2 cot 0 tan 0 1- sec 0

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Q: sin x Show that secx = cosx - then use the identity to derive the basic integration rule f secx dx =…

A: RHS=sinxcosx+cosx1+sinx=sinx1+sinx+cos2xcosx1+sinx=sinx+sin2x+cos2xcosx1+sinx=sinx+1cosx1+sinx=1cosx…

Q: = cot-" (2), a > 0 sin at Prove that L() = cot™

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Q: a-X Tan" 1+ ax Differentiate

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Q: 3tan3x=tanx in the interval [0,2pi

A: Given,3 tan3x = tan x3 tan3x - tan x = 0tan x (3 tan2x -1)=0tan x =0            ;     3 tan2x-1 =0…

Q: 2- tana 1. If Sin(x+ a)= 2Cos(x-a); prove that: tan x = 1-2 tana 2 If Siu

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Q: (sec^ 2 beta-1).tan( pi/2 - beta)=tan beta

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Q: sin(2n) 1+/n In %3D

A: Write in product of two sequences

Q: integral Scos 4 (3x) Sin (3x) dx Evaluate the

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Q: sin4xdx Evaluate S ex

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Q: cosx tanx In(1+x)

A: Write the power series in sigma notation and in expanded form

Q: 6. SHOW THAT tan (tan" + tan) =

A: We prove this.

Q: sinx Show that -dx= sin x +cos x 4

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Q: ldx on the graph y sec x? + y? = cos2x at point (1, 2).

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Q: Sinx show that Linit

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Q: 2. Verify: sin x+tan x %3D sin?x sec x cSc x+cotx

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Q: theorem

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Q: Smx sınxtanx+ a) Explain the method for proving tanx cosx is an identity.

A: The method to prove the given identity is to transform the the any of the sides equal to the other…

Q: How do you differentiate y= tan^-1sqrt(x) The tan^-1 is multiplied by an x under the sqaure root.

A: To differentiate the given function by applying  the chain rule

Q: using property of beta function prove that 57 32 S sin'x dx

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Q: Prove Vsec20+ csc²0 = tan 0 + cot 0 %3D

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Q: a) Expand Sinx by Maclaurin's Theorem.

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Q: 4. (tanx)(1 - cot x) = tan x - 1

A: Given  (tanx)(1-cotx)=tanx-1 Let's verify the identity as shown below

Q: 2. Verify: sin x+tan x %3D sin?x sec x csc x+cotx Sink+tanx

A: We have to prove the identity

Q: How do I verify secv-tanv=1/secv+tanv

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Q: cosx Show that J-3(x) = -. + sinx)

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Q: sin z (sec z+1) cot r (1 – cos x) Prove

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Q: sin z Show that

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Q: DEvaluate VFano do

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: acrsin x:! csc-1 x: arccos x: sec-1 arctan x: cot-lx: : [0, T] :: [0, 플] : (- 1 : (0, 27] :: [-플, 이…

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Q: 2. Prove sec?x + tanx secx 1- sin x

A: cos^2 x = 1 - sin^2 x sec x = 1/(cos x) tan x = sin x/cos x

Q: Beta Function 27 dx (*+ 1) Prove that

A: The given problem is to evaluate the given beta function integral.

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.