1. Solve for x, where 0 < x < T. 1 tan x = sin(2x)

Q: Find the value of x in degrees: sin x = 0.8766

A: The sine function is positive in the first and second quadrant. We can use inverse sine function to…

Q: 8. Evaluate the integral. sin x xp. 4+ cos x

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Q: Evaluate the indefinite integral. sin(x) cos(9x) dx = +C

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Q: nd all values of x in the interval [0, 2x] that satisfy the equation. (Enter your an 9 sin(2x) = 9…

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Q: 27. What is the simplest form of sin 2 tan'x A) 1+x B) 21+x? 2x C) 1+x 2x D) |1+x?

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Q: 8+tan x dx 1-sin?x i.

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Q: 2. If tan x = Find the sin x and cos x in the interval xe [n. : XE T,

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Q: 3 7 cos z Evaluate the definite integral: dæ sin x 6.

A: Evaluate the Definite Integral : ∫π6π37cosxsinxdx

Q: Estimate the error if P 3(x) = x - (x^3/6) is used to estimate the value of sin x at x = 0.1.

A: Given:

Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin' x tan

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Q: Evaluate the definite integral. sin x dx -dx J12 I+cos² x

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Q: 1 lim is equal to: (t – 1)2 '

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Q: 23. x? sin (x³) cos (x³) dx

A: ∫x2sin5x3cos3x3dx=∫sin5x3cos3x3dx      x3=u,3x2dx=dx, x2dx=1/3 dx=∫sin5x3cos313dx

Q: A ( sinh x- coshx tanh e 6)

A: You all need to have the idea of hyperbolic and their basic calculus.

Q: 2) S cos? x sin3 x dx

A: The given integral is: I=∫cos2x sin3x dx=∫cos2x(sin2x)sin x dx=∫cos2x(1-cos2x)sin x dx

Q: aluate 9/ sin(x) cos(x) dx by four methods.

A: Here we want to perform the given integral according to each of the methods mentioned.

Q: 2. Given: cosh x==(e²+ e*), sinh x=(e-e), use these 1-1/1 definitions to show that cosh’x−sinh’x=1.

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Q: 2x, given tan x= 2 and cos x is less than 0

A: Given tan x = 2 and cos x &lt; 0.

Q: Evaluate the definite integral. ∫0 π/2  Cos x Sin (Sinx) dx

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Q: (B): Find the tangent equation to the curve y = sin² x at point x = 7. (C): Solve the following…

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Q: 9. e' cos (x) =1+ sin (xy) 10. tan (x – y) = 1+ x2

A: Given the equations 1)ey cos(x)=1+sin(xy)2) tan(x-y)=y1+x2We need to find implicit differentiation…

Q: How do you solve this and can you show me step by step?

A: Given equation is

Q: d(tan(x)) Using Euler’ formula, show that dx cos x 1.

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Q: 1. Calculate the Integral sin x cos x dx

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

Q: The value of the integral (x–1)* sin (x 1) (x-1) +cos (x-1) is

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Q: 1. S(esin x cos x - acos 2x sin 2x)dx

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 1. cos x |? ecosx sin xdx

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

Q: b. Express tanh x in terms of e* and e-* and hence show that 2 tanh x tanh 2x = 1+ tanh? x' c. Given…

A: (b) To proof :   tanh2x=2tanhx1+tanh2x It is known that, sinhx=ex-e-x2coshx=ex+e-x2 so,…

Q: B) If sinh 0 V3 Find cosh 0, tanh 0, coth 0.

A: Given: sinhθ=32 To find: coshθ, tanhθ, cothθ. Solution: We have identity, cosh2θ-sinh2θ=1 Putting…

Q: The smallest positive number for which sin(t) - cos(2t) = 0 is t =

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Q: 8) S dx it sinx + cos x a) in (1 + tan =) + c b) In (i - tan £) + c c) - In (1 + tan x) + o 2 d.)…

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Q: 6. Evaluate |2 Sin xʻdx, by (i) mid-point rule, and (ii) Simpson's 1/3 rule.

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Q: 2) Find the exact simplified value of tan 2, () 3m sin 0 where n s0<4 2.

A: Given

Q: 1. Solve sin x= for X where 0° <x<90°. Enter your next step here

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Q: Evaluate the definite integral. *1/2 5 cos(x) sin(sin(x)) dx

A: Use the substitution u = sin(x) to evaluate the integral.

Q: 10. Solve the equation for x if 0 < x < 2n. 2 sin x - cot x = csC X

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Q: 1. Match th A. Sin В. Cos С. Tan

A: As per the guideline i can answer only first question for you, more than one answer leads me towards…

Q: Derive a formula for ſ tan x sec "x dx where n 40

A: Integration problem....

Q: :(3:+a- (メ+) tanx tHany 1-tanx tany to

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: Evaluate the definite integral. 2/2 5 cos(x) sin(sin(x)) dx

A: Given : Definite integral ∫0π/25 cosxsinsinx dx   To find : Evaluate the given definite integral?

Q: 1 3. a) Verify that sin x cos x = tan x--- π for the value x =-. 4 Ls Sin 4cos 4 2.s TanT/4-Y2 しS…

A: We can use the concept of trignometrical ratio in order to solve the given problem.

Q: cos x -dx Compute the integral 1+(sin x)²

A: replace sinx=u cosxdx=du limits of u will be 0 to 1

Q: 2 Recall thal cos-x= arccos x, Find /2 X Sin (cos x) dx. C.

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Q: 16. S cot xdx /1 + In sin x

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Q: proximation at z = 0 to sin(4r) is A + Bx where A is:

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Q: I. Verify the following identities: 1. cosh x- sinh x = e* 2. sinh(-x) = –sinh x 3. cosh(-x) = cosh…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: (11). - cos?(2y) sin? (x), y(등) =0 Workings y= tan '(z - 글sin 2v) +

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Q: 3 Evaluate COs x sin æ dx. sin*(x) X + C

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