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The general solution of the equation, 2cos2x = 3.2cos2x – 4 is
  • a)
    x = 2nπ, n ∈ I
  • b)
    x = nπ, n ∈ I
  • c)
    x = nπ/4, n ∈ I
  • d)
    x = nπ/2, n ∈ I
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The general solution of the equation, 2cos2x = 3.2cos2x –4 isa)x...
2⋅cos2x=2(2cos2x−1) x+cos2x
=2cos2 x − 4 
x=2cos2x (cosx=±1)/x
=nπ, n∈I
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Most Upvoted Answer
The general solution of the equation, 2cos2x = 3.2cos2x –4 isa)x...
Subtracting 2cos2x from both sides, we get:

0 = 3.2cos2x - 2cos2x

Simplifying the left side, we get:

0 = 1.2cos2x

Dividing both sides by 1.2, we get:

0 = cos2x

To find the general solution for this equation, we need to determine all the values of x that satisfy this equation.

Recall that cos2x = 0 when 2x = (2n + 1)π/2 for any integer n.

Therefore, the general solution is:

2x = (2n + 1)π/2

x = (2n + 1)π/4

where n is any integer.
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The general solution of the equation, 2cos2x = 3.2cos2x –4 isa)x...
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The general solution of the equation, 2cos2x = 3.2cos2x –4 isa)x = 2nπ, n ∈ Ib)x = nπ, n ∈ Ic)x = nπ/4, n ∈ Id)x = nπ/2, n ∈ ICorrect answer is option 'B'. Can you explain this answer?
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The general solution of the equation, 2cos2x = 3.2cos2x –4 isa)x = 2nπ, n ∈ Ib)x = nπ, n ∈ Ic)x = nπ/4, n ∈ Id)x = nπ/2, n ∈ ICorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The general solution of the equation, 2cos2x = 3.2cos2x –4 isa)x = 2nπ, n ∈ Ib)x = nπ, n ∈ Ic)x = nπ/4, n ∈ Id)x = nπ/2, n ∈ ICorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The general solution of the equation, 2cos2x = 3.2cos2x –4 isa)x = 2nπ, n ∈ Ib)x = nπ, n ∈ Ic)x = nπ/4, n ∈ Id)x = nπ/2, n ∈ ICorrect answer is option 'B'. Can you explain this answer?.
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