Evaluate: * cos² 2. * x cos? x dx sin

Q: What is the (2sec?x – sinx) dx O sinx + 2tanx + c O 2 sinx + cosx + c O cotx + 2 cosx + c O 2 tanx +…

A: The given integral is: ∫2sec2x-sin xdx

Q: Find if sin x + 1 = cos y dx2

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Q: Use the addition and subtraction formulas to simplify the expression. cos(x +y) cos(x - y)

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Q: Evaluate COS (2x)sin(2a)dx

A: We have to evaluate  ∫cos4(2x) sin(2x) dx.

Q: Sketch the graph

A:

Q: Find without using tables, the values of cos x and sin x when cos 2x is 7/25

A: cos2x=725

Q: Evaluate S2 sin? x cos3 x dx

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Q: Evaluate Sz cos“ x sin? x dx

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

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Q: d²y If x=5+ cos20 and y=3- sin20, what is ? dx² A csc ³20 (в B - cot20 Ⓒ-csc ³20 D cot20

A: Given: x=5+cos2θ and y=3-sin2θ Now, dxdθ=d5+cos2θdθ=-2sin2θ and    dydθ=d3-sin2θdθ=-2cos2θ Now…

Q: Given that cos(x) = 0.42, what is cos(-x)?

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Q: Evaluate / cos“(x) sin³(x)dx. Include "+c" in your answer.

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Q: Using the substitution u = sin (x), or otherwise, find the exact value of %3D J sin° (x) cos (x) dx.…

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Q: Evaluate 13 sin(x) cos(x) dx

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Q: Evaluate 3 .9 sin (15x) cos (15x) dx.

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Q: Evaluate sin(x) 1+cos(x) -dx

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Q: Use the addition and subtraction formulas to simplify the expression. cos(x+y) cos(x - y)

A: Given,            cosx + y cosx - y

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

A: Please refer the attached image for complete solution.

Q: Evaluate: / [cos(x) – sin(x) ]dx

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

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Q: Evaluate: sin rv1- 4 cos² x dx. /9 – (In r)² Evaluate: dr.

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Q: Evaluate (2 sin? x cos3 x dx 0.

A: The given integral,     ∫0π2sin2x cos3x dx

Q: 4. Describe a way of evaluating x cos? x dx. sin' х. х со

A: We will use the reduction formula,  to solve this integral. where n ≥  is an integer. Now., we…

Q: Rewrite cos x+ in terms of sin(x) and cos(z). 4

A:

Q: 5T in terms of sin(x) and cos(x) 3 Rewrite sin ( x +

A: sin(x+5π/3)

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

A: sin ( a - b) = sin a cos b - cos a sin b

Q: QProve that: (Cos 38 Cos3e -3 Cos e Sin e)

A:

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

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

Q: for 0, where 0<0< 2n sin 0 = cos0 %3D

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Q: (1) /=. | x° cos 2rdx (2) /* e cos xdx

A: Here I am attaching image so that you understand each and every step.

Q: Verify the identity. cos 2x cos² r - sin? x

A: We have to solve the trigonometry problem

Q: Rewrite sin ( x + in terms of sin(x) and cos(x) 4

A: We know  sin(a+b) = sin(a)cos(b) + cos(a)sin(b)

Q: Evaluate sin(x) · In ( cos(x)) dx using substitution.

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

A: We will use the below trigonometric identities to solve this

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

A: Recall:  sin(A+B)=sin A cos B+sin B cos A We have, A=x, B=π3

Q: Evaluate ∫cos5 x dx

A: Evaluate: ∫cos(5x)dx

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: 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: Evaluate 1- Sin L Cos L do 2- ( sing ecasy Sdt J-t44t-3 3-

A:

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: . Complete the identity: sin2x + tan2x + cos²x =? A) cos3x B) sec?x C) tan2x D) sin x

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Q: How would you evaluate∫cos2 x sin3 x dx?

A: Given: ∫cos2xsin3xdx

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

A: For a∈ℝ cos-1(cos a)=a                 (1) Given equation is: cos-1cos25π6=y           (2) Compare…

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

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Q: Evaluate and simplify y′. y = 2x2 cos-1 x + sin-1 x

A: Given:y=2x2 cos-1x+sin-1x

Q: 2. cos ?x + 10cosx - 9

A: The solution for the above question is below as shown.

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