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The general solution of the trigonometric equation tan2 θ = 1 is ____________ - Mathematics and Statistics

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MCQ
 

The general solution of the trigonometric equation tan2 θ = 1 is ____________

Options

  • `theta =npi+-(pi/3),n in z`

  • `theta =npi+-pi/6, n in z`

  • `theta=npi+-pi/4, n in z`

  • `0=npi, n in z`

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Solution

`tan^2theta=1=tan^2(pi/4)`

`tan^2theta=tan^2 alpha => theta=npi+-alpha`

`therefore theta=npi+-pi/4`

Concept: Trigonometric Functions - General Solution of Trigonometric Equation of the Type
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