3. In Example 1(a) we showed that f sin x cos* x dx = - cosx + cosx + C. Check that this answer is 1 1 correct by differentiating and applying trigonometric identities.

Q: Suppose that x = cos 0 . Find an expression for sin 0 in terms of a 9 4 z2 6,

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Q: 9 If f(0) = cos 0, ·cos 02· cos 03 ... cos 0n .... .·. f' (0) f (e) Show, {tan 01 + tan 02 + tan 03…

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Q: |6. Determine two values of x between 0° and 360° that have sin x 2

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Q: The suitable substitution to evaluate / sin²4(x +2) dx is (1- cos8(r + 2)] [1+cos8(x+2)] None 1 [1-…

A: We have to find the suitable substitution to evaluate the following integral -  ∫sin24(x+2) dx

Q: Show that L-1{ = (sin hat sin at) s4+4a4, 2а2

A: To find Inverse Laplace transform of ss4+4a4: write ss4+4a4 as  ss2+2a22-2as2 Then the denominator…

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A: Given: cos θ=-16 &amp; π&lt; θ&lt;3π2 To determine: sin θ

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Q: 6. Evaluate A sin³ x cos4 x dx.

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Q: 2 cos(5x) – 5 x² – 2 lim sin(3x) – x² – 3x - - (Write your answer in the given box)

A: We will use L'Hopital rule

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A: Use substitution method

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A: Given:- tan(x) =-4/3 To find:- value of sin(2x), cos(2x), tan(2x)

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A: Answer is given in asked form.

Q: Find cos(4x) sin(4x) da.. To cos(4x) sin(4x) dx : =

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Q: cos 2x +1 sm 2x Prove that Please show proper steps sin 2x 1- cos 2x

A: We know the formula (1) 1+cos(2x)=2cos2x (2) 1-cos(2x)=2sin2x (3) sin(2x)=2sinxcosx

Q: If x= cos n + cos 2n and y=sin n + sin 2n show that  2xy= sin 2n+2sin 3n+sin 4n

A: See the attachment

Q: In each case find cos(2x) and cos(x/2). Do not use your calculator. 3 and 0 <x < n/2 5' 5 a. cosx =…

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Q: Express f (0) = cos 20 + 4(sin 20)² + 1 as a sum of powers of sin 0.

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Q: 4. Prove that cos(sin¬1 x) = /1 – x².

A: cos(sin-1x)=1-x2⇒sin-1x=cos-1(1-x2)Let y=sin-1x                               (1) ⇒siny=x…

Q: .2 Determine the value of sin x + cos x for x = 30 degrees.

A: The given expression sin2x+cos2x for x=30 degrees.

Q: Suppose, z=-i+1.7 then, Find e-iz e(cos 1.7 +i sin 1.7) e(cos 1.7 - i sin 1.7) (cos 1.7 - i sin 1.7)…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: IFS(x) = - sin(x), then S ® (1) is equal to - sin(x) B) - cos(x) sin(x) O cos(x)

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Q: d. Show that sin 8x + sin 4x cos8x-cos4x = -cot(2x)

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Q: 2. Find a reduction formula for sin" x dx. By using this formula evaluate sin® x dx.

A: The objective of the question is determine the integral.

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

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Q: 4 If cos x = csc x < 0, then sin 2x = cos 2x = tan 2x = ||

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Q: 1. Show that | sin x cos3 x dx = sin® x sin x +C = - 8. cos*x, cosx cosx +C 3

A: To prove:-

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Q: 2. If sin x cos x + sin 2x =1 what are the values of x

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Q: Find sin 2x, cos 2x, and tan 2x if cos x= and x terminates in quadrant I. 13 sin 2x %3D cos 2x %3D…

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Q: 4. Use Walli's formula to evaluate 2 sin*x cos°xdx.

A: Given integral is as below:-                  ∫0π2 sin4xcos9xdx

Q: 15. Evaluate | sin° x cos xdx 3

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Q: 3 Find sin 2.x, cos 2.x, and tan 2x if tanx and x terminates in guadrant II. 2 sin 2x %3D cos 2x tan…

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Q: 9. Prove that | sin n0/sin 0| <n, limiting values being used when sin e = 0.

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Q: The suitable substitution to evaluate | sin 4(x+2) dx is None (1- cos8(x +2)] [1- cos4(x + 2)]…

A: Given that: ∫sin24(x+2)dx

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Q: Show that, for real values of x, 3 sin x f(x) 2 + cos x cannot have a value greater than 3 or a…

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Q: Show that : |sin x |= CoS nX Σ n2 even 414 2/7

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