Convert the following continuous signals into discrete * signals if fs =100o0Hz. i. F(t)=5 sin(100*pi*t) ii. F(t)=2 cos(10o0*pi*t) iii. F(t)=4 sin(80o*pi*t)

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Q: 2. Prove the following identity: sin (x+y)sin (x-y)=cos² y-cos²x X =COS - COS¯ x X.

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Q: Which of the following is an "even" function of t? O sin(t) / t O sin(2t) O 1-t^3 O cos(t) + t

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A: the answer is t-sin(t)  provided the solution below with steps in step2

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A: We will be using the known formulas to arrive at the final answer.

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A: Introduction :

Q: Let f(x) = (8 sin z + 2 cos z)tan f'(z) -

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A: We have find the integral.

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A: I have stated the used formulas in the solution

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A: By the using the formula we will solve the above integral. If n is an integer ≥2, then…

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Q: Use de Moivre’s theorem with n = 4 to prove that cos(4θ) = 8 cos^4 (θ) − 8 cos^2 (θ) + 1

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.