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

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

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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