1 Differentiate y = tan 8x + cos ,x

Q: Solve the DE: tan xsin y y'+(3 tan x-2 cos y) sec x=0

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Q: 9. 2x + cos x = 0

A: We use intermediate value theorem and rolle theorem to show that the given equation has only one…

Q: Differentiate. y = In Sin x  - 1/2Sin2 x

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Q: tan3x)dx tan Evaluate: cos23x A - In|sec (tan3x)|+C - In|cos (tan3x)| +C B © In cos(tan3x)| +C in…

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Q: 1- Determine. 4. Cos 'x sinX dx

A: Given:                     ∫cos4(x) sin(x) dx     Solution:                    Integrating the given…

Q: 2. tan3x(sec3x – cos3x) dx

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Q: (b) S tan3 x sec² x dx c) S sin³x cos5 x dx

A: The explanation of the solution is :

Q: 38. Differentiate y = 2 cos² - a. – sint b. - sin 2t C. - sin - d. sin-

A: Differentiate y=2cos2t2

Q: Find y' i. y = sin(2x² + tan(6x² – x)) ii. y = sin(2x² + tan(x – 1))

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Q: Evaluate the integrals

A: We have to evaluate the integral;  13) ∫ln4ln9ex/2 dx14) ∫tanxln(cosx) dx

Q: Differentiate. y =  x Cos-1 x

A: Given: y = x cos-1x To Find: Derivative of given function Formula Used: Derivative of cos-1(x) is…

Q: dx is equal to 1+cos x - cotx + cscx + c -tanx + cscx + c O cotx + secx + c O cotx + cscx +c

A: To find: ∫dx  1+cosx

Q: 4. y = tan¬1(3x) cos 1 4x 5. y =

A: To determine the derivative of given functions. Here we will use the following formulas-…

Q: In ( tan x) -dx cos x

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Q: Evaluate 1 dx 3 sin x – 4 cos x -

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Q: 11) (y)* = (In tanx)(x*)(sin x)* %3D

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Q: - y = sin² (-1) y = cos" - y = arctan 0

A: This question is based on general solution of  Trignometric function.

Q: how can you express cos x in terms of tan x?

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Q: 11) (/y)* = (In tanx)(x*)(sin x)* %3D

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Q: Compute / sin x •cos1º x dx.

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Q: Differentiate.  y =cos x /(1 - sin x)

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Q: How can I rewrite: sin(cos^-1(x)*cos(tan^-1(y)-cos(cos^-1(x))*sin(tan^-1(y))  as an algebraic…

A: Given expression

Q: 2- S tan x dx.

A: Given integral is: I=∫0πtan x dx We have to evaluate this integral.

Q: 1. What is S tan x dx?

A: log|sec x|+c .

Q: Evaluate (tan x cos x) dx А. cos x + C cos x + C - С. - sin x + C D. sin x + C B.

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Q: Differentiate y = sin 20 cos 20

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Q: Find y' of tan x = Sin y -2x5

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Q: Differentiate y= x² cos x tan x

A: To determine:

Q: 2 2 | sin x cos xdx X,

A: As per our guidelines we are supposed to answer only one question kindly repost the other question…

Q: Differentiate  x sin−1(x)  with respect to sin−1x.

A: Using derivative of one function w r to another function.

Q: dx is equal to 1+cos x O - cotx + cscx +c O - tanx + cscx + c O - cotx + secx + c O cotx + cscx + c

A: We have to find the integration and also find the limit in the second question.

Q: 2 , 1 + sinx +. D. cosx cosx il + sin.x

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Q: Evaluate: | sech[In cosx]tanx dx A -2 tan -1(e cosx) +C В -2 tan -1(cosx) +C 2 tan -(ecosx) + C (D 2…

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Q: 9. y = -sin (3x) 10. y = tan (x - 60) 11. y = cos (x + 30) 12. y = 3 cos (2x)

A: In both cases there is translation of graph.

Q: 4. sin 2x cos 2x dx

A: Here we integrate the given function.

Q: evaluate the integral.

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Q: 2 tan(2x) − 4 cos(x) = 0

A: Explanation of the solution is given below.... And solve the given equation.....

Q: In(tan x) -dp- sin x cos X 3 4

A: To evaluate the given definite integral.

Q: y = cos (tan (3x)) A. -9cos? (tan (3x))sin (tan (3x)) sec (x) B. -9cos? (tan (3x))sin (tan (x))…

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Q: Find x where 0 ≤ x ≤ 2π. cos x - tan²x = 1

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Q: Evaluate: | tan(4x + 3)dx i -In |cos (4x+3)|+C A COS 4 В 4 - In |sin (4x + 3)|+C In |csc (4x+3)|+C D…

A: Given: ∫tan(4x+3)dx =∫sin(4x+3)cos(4x+3)dx Substitute :…

Q: 2. Differentiate y = /sin(x² + 3)cosx

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Q: (2 In sin x)3 15. S tan x

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Q: 3. y³x2 – cos- sin x² + esin x = 1 y DIFFERENTIATE THE GIVEN

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Q: 4x 3x + cos (2x² + 1) tan? x) x (1+ sin² dx

A: Here We have to evaluate;  a) ∫4x3x+cos(2x2+1)dx b) ∫tan2x(1+sin2x)cos2xdx

Q: 13. Find , if y = sin x+cosx cos x dx

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Q: Compute f sin(cos(x²)) sin(x²)x dx

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Q: Find y' i.y = sin(2x² + tan(6x² – x)) ii.y = sin(2x² + tan(x – 1))

A: We have to differentiate the given functions

Q: 04.) Show that y = (sin x +cos x) sec x = sec² x

A: Given inequality does not equal. See the attachment