he signal is to be sampled, what is the minimum sampling frequency w, to intain the signal without distortion? at is the least number of sampling points No such that its DFT can have high ugh resolution to recognize this signal x(t) ? d all rlnl for n = 0 No 1 and also find its DFT X. for k = 1

Q: Verify the identity: cos(α - β)/(cos α cos β) = 1 + tan α tan β.

A: We will use the identity

Q: Solve the equation for the values of theta between [0,2pi) 2 cos^2 θ - cos θ - 1 = 0

A: Given Data: Equation:  2 cos2 θ - cos θ - 1 = 0 Interval: [0, 2π) Factorise the given equation.…

Q: which of the following expressions is equivalent to: 3cot^2(t)/csc(t)   a. 3-3cos^2(t)/cos(t) b.…

A: This question is related to trignometry, We will solve it using trignometric identities.

Q: e (3B-2A) sin CIo) +(3A +98) os cto) =7 -AD e(Acs(@)+Bsin(2)] = 2 cos(2)+Bsinc %3D B9 using…

A:

Q: Please help me  Prove that  sin(-Z)=-sin(Z)

A:

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A:

Q: Show how sin(2) can be calculated using the fact that sin(7) 2

A: Recall: sinπ-θ=sin θ Given,  sinπ3=32

Q: If A = A-1 = 2e2t sin(5t) 2e²t cos(5t) 2e5t cos(5t) -2est sin(5t) , then 4

A:

Q: Cosx 1+sinx 11. 1+sinx 2secx Cosx

A:

Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

A:

Q: dr de sin - r- cos + eª cos = 0

A:

Q: We know that a= 23 sin' (ax) cos(ax) dx = sin³ (ax) b Find b + C

A:

Q: Show that the equation 2x + cos(x) = 1 has exactly one root. (IVT and Rolle's Theorem)

A:

Q: Give the exact value of COS (-) + sin ( 3 V3 O1 2 2 O V2 O 1+v3

A: We need to find the exact value of the given trigonometric ratios.

Q: (i) Prove that sec 3x(sin 3x-2sin' 3x)= tan 3xcos 6x. (ii) Hence find, for 0s.xs, the values of x in…

A: Trigonometric equation

Q: If, Sec t-1/sec t +1 = A-cos t/A+cos t Then A =

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.