cos?x dx =x + sin 2x + C

Q: Find the quadrant in which the terminal point detemined by t lies. sin(t)<0 and cos(t)<0…

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Q: Use the method of substitution to evaluate | 2x cos x² dx. sin x? + c – sin x? + c sin x? + c sin x-

A: We use substitution method

Q: Use your analytic calculation to show me: sin' 0 do = 0 -27 sin e de = 7

A: Given problem:-

Q: Solve for the derivative of the following trigonometric function 1. у 3D 6seс Зх 2. x = cos4t 3.…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Evaluate COS T sin T dr.

A: To integrate

Q: Differentiate the following with respect to the variable: y 3x? sin 2x

A: Given function, y=3x2 sin2x

Q: Express the given quantity in terms of sin x and cos x.

A: Express the given quantity in terms of sin x and cos x.         cos3π2+x

Q: 6. Explain the steps in verifying that the following equation is an identity. sec x sin x = cot x…

A: We have given equation  Taking left side of equation  LHS = secxsinx-sinxcosx           =…

Q: The x2- 4 dx can only be evaluated using trigonometric substitution technique . A True B) False

A: To find if the given integral can be solved only by algebraic substitution technique.

Q: If y = sin (m sin^-1(x)), find the value of yn(0).

A:

Q: b) Find the value of sin x dx

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Q: (c) Show that the function z -- eX sin yt ey cos

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Q: 4. у%3D х?sinx + 2xcosx — 2sinx 5. g(t) = tan(t – sin2t)

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Q: Show that 7 sin? ædx L' cos? ædx

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Q: Find the period of the function X(x) = | sin r| + sin |æ|.

A: Given λx=sinx+sinx

Q: Which of the following expressions can be differentiated using the product rule? А arcsin(cos x)…

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Q: Evaluate ∫ a cos x dx and ∫ a sin x dx, where a is a constant.

A: Given∫a cos x dx

Q: Find an equivalent expression to sin (z + 3)

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Q: Q1/ Find L{sin(at + b)}

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Q: Eliminate parameters A and B but not parameter C by differentiating x with respect to t. x=A sin…

A: The given equation is: x=Asin(Ct+B)

Q: Which of these will represent u in the function * y= sin -1 Vx2 + 3x + 4? Sin-1 а. du V1-u?

A: Using definition of composite function.

Q: ow that the equation 2x – 1– sin x 0 has exactly one real root.

A:

Q: Verify that the equation is an identity. = 2 tan a sec r 1 sin r 1+ sin a

A: We add the left side using LCD

Q: Eliminate the parameter: x = cos3 t and y = sin3 t.

A: Given: x=cos3t                                               ..1y=sin3t…

Q: When |x3 cos(x?) dx is evaluated using IBP, the value of v du is? cos(x*) - cos(x³) -cos(x*)

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Q: Use the formula for the slope of the tangent line to find of c(0) = (sin(20), cos(70)) at the point…

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Q: Sec A - cos A is identically equal to

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Q: For y = 5 sin 3x, its amplitude is its period is

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Q: Find the amplitule of y=-3 sin 4x, A Find the period of fea)=4cos 3 (x-)

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Q: dx 5) prove that sin x+c using method of trigonometric substitution. %3D

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Q: Find of the following functions. [ dr (a) y = sec(7?) (b)y = sin7x + cos5a

A: here we can find the derivative as below.

Q: Simplify sec(t) − cos(t)/sin(t) to a single trig function.

A: Given expression is We know that sec(t)=1/cos(t)

Q: Given the equation 5 sin 2xy = 2, evaluate Assume that the equation implicitly defines y as a…

A: Given,         The equation is 5sin2xy=2 .

Q: Find the first derivative of the given functions. A. Trigonometric Functions 1. y= sec? 0 – tan² ® 1…

A: As per our guideline we are supposed to be answer only A(questionp 1y& 2)part you can respost…

Q: The imaginary part of sin j is _____.

A: Introduction: The complex numbers are represented thru a Cartesian plane known as the complex plane,…

Q: sketch r= la 2 Sin'co+)

A: r=1-2sin2(θ+π3)

Q: If fx= cos³4x Sin 4x,then F(x) + C is ?

A: Consider the given function. fx=cos34xsin4x Now, find the integration of the function.…

Q: find the slope of the tangent line to r =8 sin(\theta ) at \theta =\pi /6

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Q: Using a suitable substitution, (sin x cos“ x) dx can be 4 (A) - f u*du (B)

A: Given: ∫0π2sinxcos4xdx

Q: At what point does the sine function y = sin x, cross the y axis? O (T, O) O (0,0) O (1,0) O (0,1)

A: Given  function is y=sinx. We have to find the point at which the function y=sinx cross the y-axis.…

Q: Substitute the expressions for u and for du to write tan(5x + 8)dx in terms of u. / tan(5x + 8)dx =…

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Q: Find out Cos(A-B)=?

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: We have to prove the following identity: sec x-tan x sin x=1sec x We know the identity, cos x sec…

Q: 9 cos `x sin x dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

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Q: (b) /(cos æ)* sin a da

A: