Find tan a. V[ ? (V5, -/7)

Q: 6sinx -sinx =1 in the interval [0,2pi]

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Q: Give the degree of 0 = tan-(-V3) if it exists. measure %3D

A: topic - inverse trigonometric ratios

Q: Prove that the inequality sinx+tanx>2x holds in the interval (0,π/2).

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Q: Prove the following 1/secx-tanx-1/secx+tanx=2tanx

A: Trigonometry

Q: Verify the identity tanh2 x + sech2 x = 1

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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: prove that tanx V secrsinxtanx

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Q: (a) Verify that tanh P-tanh Q 1-tanh P tanh ọ tanh( P – Q)

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

A: To write the maclurin formula in the fourth degree

Q: . Evaluate sec z tan zdr

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Q: Find mean and second moment of X.

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Q: if f(2) = zsin(z) -1 defined on the interval (2. 3] then es using False-Position method equals [x in…

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Q: V/ Prove that: (1) tanx= cot

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Q: కషిద్టి చవీ / tangent s lope rosin (20) when Jot 5 2) 653 3. not of the above

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Q: Evaluate fi' sin(21*)dt

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Q: - IF z = tan2 -1 y Show that x- ây

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Q: Use th Start! 1- cos 2x

A: Given:1-cos2x/cos2x To simplify we use some trigonometric properties

Q: 7. Integrate. S tan50 sec³0d0

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Q: Compute : exp(i sin(e-i))

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Q: (b) Use the definition to show that cosh(-x) = cosh(x). + e-(-x) cosh(-x) e-X + eX

A: Please refer the attached image for complete solution. THANK YOU.

Q: COSX TT is analytic about x = Select one:

A: cosxx-π2  is analytic about x=π2

Q: sin-(x²)

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Q: Evaluate the in tegrol : S sin 5x cog3 5xdx

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Q: Evaluate: 2) x-In x dx

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Q: Assuming that |a| < 1, find the value of cosh ax dr. cosh x

A: It is given that,a&lt;1, we have to find the value of              ∫0∞coshaxcoshxdx

Q: Find y' by ased proportici Ln Xャ3

A: Taking natural log both side

Q: prove that = - Cotx + C 1- cosx +Sin'x

A: According to the question, we need to evaluate the integration: F(x) = 2(1 - cos2x + sin2x) We need…

Q: alue of x to

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Q: Prove that the inequality sinx+tanx&gt;2x holds in the interval (0,π2).

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

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Q: sinha da 1+cosha

A: ∫sinhω1+coshωdωLet u=1+coshω.=∫1udu=lnuSubstitute back u=1+coshω=ln1+coshωAdd a constant to the…

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = 3 cos…

A: fx=3cos3x Differentiating with respect to x, we get f'x=3-sin3x·3=-9sin3x Now,…

Q: prove that catX+c - Cos'x+Sin2X

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Q: Determine the exact function value of cosh (In 2).

A: The given function is  Cosh(ln2)

Q: show that sinx less than x if 0 less than x less than 2pi

A: Assume that, fx=x-sinx Differentiate f (x) w.r.t. x, f'x=1-cosx=2sin2x2

Q: Use Simpson's rule with n = 4 to approximate /" cos(2) -dr

A: Given: ∫16cosxxdx Here a=1, b=6 and n=4  h=b-an∆x=6-14∆x=54∆x=54

Q: Show that cos(arcsinx) Vi - x², for x| s lin two different ways.

A: Show that cosarcsin(x)=1-x2, for x≤1

Q: Let w- fx.y.) - :), x- cos(), y sin(» and :. Then:

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Q: 2 = sin5t constitute a fundamenta L

A: Y1=cos5t and y2=sin5t  do not a fundamental set of solutions of differential equations y"+16y=0

Q: prove that tanx V secxsinxtanx

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Q: sec 1.)S Intanßtanß dß

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Q: If Z= tanh) show that: *

A: The given function is z=tanhyx We have to prove that x∂z∂x+y∂z∂y=0 ∂z∂x=The partial derivative of z…

Q: Prove sech 2  x =1 - tanh  2x

A: we have to prove: sech 2  x =1 - tanh  2x

Q: compute:   ∫sin^3xcos^2xdx

A: We have to find:

Q: sech2(In x)

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Q: Show that 1 − cos x = x2/2 with an error less than 0.003 for |x| &lt; 1/2.

A: Given: 1-cos x =x22;    |error|&lt;0.003Formula:  The…

Q: Prove that _ d tanx = Sec'x.

A: