C05(2014-14) COS(20-μ) x Sin (M-x) x tanx = sinx 4) sin (-4) tancat tank +x) C

Q: 6. (a) cos 2x dx; u = 2x

A:

Q: f(x) = -2sin(x) Amplitude: f(x) = -3cos(x) Amplitude: f(x) = 6sin(x) f(x) = 10cos(x) %3D Amplitude:…

A: If f(x) = Asin(mt + n) or f(x) = Acos(mt + n) then amplitude = |A|

Q: Find the derivative of the function. y = sin-(9x + 1)

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Q: tan 2x sec 2x dx Evaluate cos 2x O 1 ,tan 2x e + C 2 2 e tan 2x + C O -2 e sec 2x + C 1 ,tan 2x + C…

A: ∫etan2x sec2xcos2x dx=∫etan2x sec2x sec2x dx     ∵secx=1cosx=∫etan2x sec22x dx Now put,…

Q: (a) y = In(sec²x) (b) y ecos + cos(e) x² −1+2 (c) y = x (d) y = sin² (e) y = (f) y = (cos(√sin(x)))…

A: Let's consider  the properties of differentiation.Let f(x) and g(x) are two different function…

Q: cos(x1)=-1/3 sin(x2)=2/3 find 1. sin(x1+x2) 2. cos(x1+x2) 3.sin(x1-x2) 4.cos(x1-x2)

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Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: f(x) = 5 sin²(x) Hint: Use sin2(x) = -(1 – cos(2x))| %3D %3D n = 1 8.

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Q: csc(arccos(x-1))

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Q: [(2tan(x)/1+sec(x))+(2+2sec(x)/tan(x))]=4csc(x)

A: Consider the left hand side,