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Question

Solve the following trigonometric equation:

tan2x=3


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Solution

Trigonometric equations:

We have,

tan2x=3tan2x=tanπ3(tanπ3=3)

Now, when we have

tanx=tany

then the general value of x is given by

x=+y,wherenZ

Therefore,

2x=nπ+π3,wherenZx=2+π3,wherenZ

Hence, x=nπ2+π3,wherenZ is the solution of given trigonometric function.


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