The number of principal solutions of tan...

The number of principal solutions of `tan2theta=1` is

A

one

B

two

C

three

D

four

Text Solution

Verified by Experts

The correct Answer is:

B

We have, `tan2theta=1`.
Here, the value of `tan2theta` is positive. So, `theta` lies in Ist and 3rd quadrants.
`therefore` Number of principal solution of `tan2theta=1`, is two.

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Knowledge Check

The number of principal solution of tan2theta=1 is

A

one

B

two

C

three

D

four

The numbr of principal solution of tan 2 theta =1 is

A

one

B

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C

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If theta in [-2011pi, 2011pi] , then the number of solutions of the equation. [sec theta-1]+{tan theta"tan"(theta)/(2)} (where {.} denotes the fractional part function and [.] denotes the greatest integer function) is

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0

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C

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D

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