[-7, 1] The average value of cos (2z)e1-sin(2z) on is

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Q: he signal is to be sampled, what is the minimum sampling frequency w, to intain the signal without…

A: Given: x(t) = (1 + cos(5t)) sin(15t)

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Q: Give an example of a value of z such that the equation sin(x ) = z is unsolvable.

A: We have to give an example of a value of z such that the equation sinx=z is unsolvable.

Q: f(x) = (8 sin x + 3 cos x)tan1 -

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Q: ; Choose the most appropriate answer. (i) Let 1-r 2 E (an cos(ntx) + bn sin(nrx)], n=1 on (-1,1).…

A: This is Fourier series expansion of (1-x) from -1 to 1.

Q: (4) Evaluate cos (2x) -dx. (x² + 1)² 8.

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: sin(cos (2x)), where 0<x<

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Q: 1. Suppose we know sin a = and 0 < a < , and suppose we also know cos 3 = 2√³ and - < 3 < 0. Use…

A: Given: sinα=35, 0&lt;α&lt;π2 and  cosβ=255, -π2&lt;β&lt;0 To find:  d) sin2αe) cos2βf) cosα2

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Q: d(tan(x)) Using Euler’ formula, show that dx cos x 1.

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Q: 3. arcsin (cos A 3

A: Consider  arcsincos5π3

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Q: Let F= (2e", 5 sin(x), 8 cos(x)). Calculate div(F) and curl(F). (Use symbolic notation and fractions…

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Q: Show that tan-1 ( 1/v ) = π/2 - tan-1 v, if v &gt; 0.

A: To prove tan-11v=π2-tan-1v, let  x=tan-1v then tan x=v1tan x=1v Since  tanx=1cotxcotx=1v ⋯ (1)

Q: A graph of f (z) =a cos(br) is shown, where b is a positive constant. |(0, 4) (T, 4) |(27, 4) -2…

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Q: Find all xE[0,2pi] that satisfy sin 2x + cos x = 0 x =

A: Topic- Trigonometric Equations We are given, sin(2x)+cos(x)=0 and x∈[0,2π] We know that sin(2x)=2sin…

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Q: verify sin2(x)+cos2(x)=1

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Q: Find cos x + sin 2x dx 19. sin x

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