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The sum of all solution of the trigonometric equation sin ( pi x) + cos ( pi x) = 0 in [0, 100] is 5025 5026 5027 5028

The sum of all solution of the trigonometric equation
sin ( pi x) + cos ( pi x) = 0 in [0, 100] is
  1. 5025
  2. 5026
  3. 5027
  4. 5028

Grade:11

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

Sin theta = -cos theta

Q2 and q4

Theta = npi - pi/4

X = n-1/4

Using general solution we can obtain answer to the question

Regards

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