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1. Which of the following is equivalent to u= -cost+√3 sint? A)u=2cos(t+ 2Π/3). B)u=1/2 cos(t+ 2Π/3). C)u=2cos(t - 2Π/3). D) u=1/2 cos(t - 2Π/3) 2. Which of the following products of trigonometric function of differential frequency is equation to cosΠt + cos2Πt ? A) 2cos(Π/2 t)sin(Π/2 t) b) 2cos(3Π/2 t)cos(Π/2 t) C) 2cos(3Π/2 t)cos(3Π/2 t) d) 2sin(3Π/2 t)cos(Π/2 t)

1. Which of the following is equivalent to u= -cost+√3 sint? 
A)u=2cos(t+ 2Π/3).   B)u=1/2 cos(t+ 2Π/3). C)u=2cos(t - 2Π/3).         D)  u=1/2 cos(t - 2Π/3) 
2. Which of the following products of trigonometric function of differential frequency is equation to cosΠt + cos2Πt ? 
A) 2cos(Π/2 t)sin(Π/2 t)    b) 2cos(3Π/2 t)cos(Π/2 t)  
C) 2cos(3Π/2 t)cos(3Π/2 t)  d) 2sin(3Π/2 t)cos(Π/2 t)  

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Grade:12th pass

1 Answers

Rajat
213 Points
4 years ago
-cost+√3sint=2[(-1/2)(cost)+(√3/2)(Sint)]
=2(cos2π/3.cost+sin2π/3.sint)
=2cos(2π/3-t) = 2cos(t-2π/3)
CosA+cosB= 2cos(A+B)/2.cos(A-B)/2
So, cosπt+cos2πt = 2cos(3πt/2).cos(πt/2)
 
I hope this helps
With regards.

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