Simplify: cos(x+ ) + sin(x – ) 5.

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Q: Is cos x= - V1 - sinx an identity? No O Yes

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Q: Using appropriate substitution, S [sec³ (2x) – 2] tan(2x) dx is equal to

A: integration

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A: Solution :-

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A: y=cos2π5-x

Q: Use the substitution rule and show all the steps to evaluate: 1 dx 1+ sin x – cos x

A: ∫π3π2 11+sinx-cosx dx Apply u substitution u=tanx2 find derivative of u with respect to x…

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Q: <press the answer in a simplified form. 1 sin x-V3 cos x

A: Answered the first one..mtiple questions..thank you

Q: y = cos( + sin(x))

A: Please refer the attached image for complete solution.

Q: Rewrite cos x + in terms of sin(æ) and cos(a) 3 -

A: Given expression is: cosx+π3

Q: Use the appropriate formula to express the product sin x cos 2x as a sum or difference.

A: Given Data The product of trignometry formula is sin x cos 2x.   The general formula for the product…

Q: Differentiate f(r) COS (5c). Use exact values.

A: Given that f(x)=cos-1(5x) Find f'(x)

Q: 32x° For what range of x-values is cos(4x*) × 1– 8x² + valid to 3 decimal 3 places?

A: To find the range for x-values for cos(4x4)≈1-8x8+32x163 is valid up to 3 decimal places.

Q: (a) sin(rxy) = x + y?

A: I am going to solve the given problem by using some simple caculus to get the required result.

Q: If f(x) = sin(x*), find f'(x). 3a² cos(r3) Find f'(4).

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Q: Rewrite cos x in terms of sin(x) and cos(x) -

A: Trigonometry problem...

Q: Simplify the result, find the derivative.

A: To Determine: Derivative of the given function.

Q: Differentiate: y = 8 cos (16x*)

A: Here we  must know about the chain rule ddx(cos(x))= -sin(x) ddxxn= nxn-1

Q: If f(x) = 2x(sina + cos a), find f'(x) = %3D

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Q: e'sinx y.cosx

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Q: evaluate y' for y = cos12x - sin^2 6x

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Q: What is the period of the function f(x) = 2 sin x? %3D

A: Given f(x) = 2 sin(1/2 x) Since for any given sine function of form  A.sin(bx) the period is 2π/b

Q: Differentiate f() 5æ? 8 cos x. - Answer: f'(x) =

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Q: cos 2x 6. 4

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Q: If f(x) = 3x(sin x + cos a), find f'(æ) =

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Q: sin 4x Cos 2x d x 9- 4x?

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Q: Rewrite cos ( x in terms of sin(æ) and cos(x). 4 -

A: we know that cos(a-b)=cosa cosb+sina sinb

Q: what is the derivate of sin(x)cos(x)?

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Q: Q1/A/ Sketch 7 + 4 sin 0 + 3 cose

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Q: 25n B- If cos-1 (cos) = y , Find value of y?

A: B. cos-1cos25π6=y =cos-1cos24+1π6=cos-1cos24π6+π6=cos-1cos4π+π6 cos4π+θ=cosθ =cos-1cosπ6=π6

Q: Rewrite cos ( x –) in terms of sin(x) and cos(x) 3

A: we know that cos(x-y)=cos(x)cos(y)+sin(x)sin(y)

Q: write in terms of x: cos(sec ^-1x)

A:

Q: Evaluate sin (x) cos(r)dx using an appropriate substitution.

A: Given that, I=∫absin5(x) cos(x) dx We have to find the solution of above integration.

Q: Write f(x) = -2 sin(x) + 4 cos(x) using a single sine function.

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Q: (b) [2 marks] y = 8x3 cos x - 13

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

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: (14) y" – 2y' + 2y = 4.xe" cos x+ xe- +x² + 1

A: y'' means the second derivative of y and y' means the first derivative of y

Q: Next Rewrite 5 sin(x) +2 cos(x) A sin(x + 4) as A = Note: o should be in the interval -T < O < T II…

A: sin(A+B) = sin(A) cos(B) + cos(A) sin(B)

Q: Evaluate: cos x-sin(sin x)dx and explain your answer in terms of odd/even functions.

A:

Q: Find an equivalent expression for 3 sec x+- using the cofunction identities.

A: Here apart from using cofunction identities we need to use the sign of trigonometric function in 4th…

Q: Use the Substitution Rule to prove that∫sin2ax dx =(x/2) -(sin(2ax)/4a )+ C

A: Given:∫ sin2 ax dx

Q: .csc(2x + :-2, where x € ( =) 4 - sin? () + cos²x = 1,where x € [0, 21) %3|

A: This question is related to trigonometric functions. Solve in step2.

Q: Rewrite cos ( x in terms of sin(x) and cos(x). 3

A: Topic - Trigonometric identities Cos (a-b) = cos a cos b + sin a sin b