12. / tan u du = In | sec ul + C

Q: tan x[cot x – cos x]dx

A: Here we can find the integration as below

Q: 1 - cos 2x if y = prove 1 + cos x y' = 2tanx.sec²x

A:

Q: 5. Integrate: [tan(7x)dx

A: 5) The given integral is ∫tan7xdx

Q: 4. Evaluate the integral. S tan (2x) sec°(2x) dx

A:

Q: Compute : exp(i sin(e¬ni)).

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Q: prove that tanx V secrsinxtanx

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Q: 10* tan væ – In () DIFFERENTIATE the given:

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Q: In [tan (5 + )| +o sec x dx 4 2

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Q: 5)Prove that (1+sinx)(1+sin(-x)) = cos²x (manipulate left side in order to get right side) %3D

A: We have to prove the given identity: 1+sin x1+sin -x=cos2 x We know that sin -x=-sin…

Q: tan u du = In | sec u| + C

A:

Q: What is the integral of question 23 and why is the answer 0?

A: Let f(t)= t^4*tan t/(2+cos t)

Q: Prove sin 2x cot x (1 - cos 2x)

A:

Q: hint: tant tan(6/2") tan(2t) tan t 2" A equals tan(6) B converges

A:

Q: 5. Evaluate tan (x)sec'(x)dx

A: Find the integral by using substitution

Q: . Evaluate sec z tan zdr

A:

Q: 17. [sec u] = (sec u tan u)u' dx

A:

Q: Suppose that x = 2 tan 8. What is sec e equal to in terms of x? √4+x² 2 √4+x² X Option 1 Option 2…

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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: Find tanget line to f(X) =tan(X) + 9 cos( X) at X=π

A:

Q: Find all solutions of 4sin^2xtanx−tanx= 0 that are in the interval [0,2π)

A: Given the equation  4sin2xtanx-tanx=0. We need to find the solution in the interval [0,2π)

Q: Prove the following equation : Cosh(3 x) = 4 cosh³(x) – 3cosh(x)

A:

Q: Prove Cos (3x)- cos (7x)/sin (3x+sin (7x) =tan (2x)

A: To Prove: Cos3x-Cos7xSin3x+Sin7x=tan2x Formulae to be used:…

Q: If Y=tanx prove that %3D2

A:

Q: E prove that = - Cotx + C %3D 1- Cosx +Sin'x

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Q: 27. sec' u du = sec u tan u +; In | sec u + tan u| + C

A: Given: verify that ∫sec3udu=secutanu2+lnsecu+tanu2+c for verify it, we integrate left hand side…

Q: 7. Integrate. S tan50 sec³0d0

A:

Q: Evaluate 1¹ 1 - cos 2x sin 2x dx In | csc 2x + cot 2x | -ln | sin 2x | +C In 1|csc 2x-cot 2x |--In |…

A: The given integral is: I=∫1-cos2xsin2x   As we know the common integrals; 1). ∫cscxdx=lncscx-cotx+C…

Q: Use Simpson's rule with n = 4 to approximate 3 cos(x)

A:

Q: Graphing a Trigonometric Function In Exercises39–48, use a graphing utility to graph the…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 2π tane 13-12cose de

A: We will find thw integral.

Q: 2. Show that by using MEAN VALUE THEOREM 4-n < tan-1 v – tan-1 u < 1+v2 if 0< u<v 1+v2 3 <tan 25 -14…

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Q: 7. B- Show that: (1) lime-0 tan 8 (2) tan 0 sec20 =D1 %3D do

A: Solve

Q: Compute ∫xsin(3x−2)dx.

A: Let the given

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: Prove 2tan x cos (3x) = sec x (sin(4x) - sin (2x))

A: Topic- trigonometry

Q: -Prove that: y" = 1 if y=csc(tan")

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Q: 12. Write an éxpression that gives all sölutions to the equation. COS X - SIn x 3= 2.

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Q: 9 Prove Sen 4t 4 cos3t sint-sin3t cos t.

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Q: Compute sin (3r)dr (25z4+1)2 -

A:

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

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Q: 1. Find the point(s) if any where f has a horizontal tangent line. у %3D УЗх + 2 cos x 0<x < 2п

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Q: prove that tanx V secxsinxtanx

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Q: sec 1.)S Intanßtanß dß

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Q: E prove that - Cotx + C 2 |- Cosx +Sinx

A: Solve the integration

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: 1 Integrate: S tan*÷x dx 3

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Q: sec u du In sec u + tan u + C

A:

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

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Q: 13) Estimate tan(44°) using linear approximation.

A: