Convert into simplest form: tan (θ - 14π)
Answers
Answered by
11
we have to convert into simplest form of tan (θ - 14π)
we know, tan(2nπ - θ) = -tanθ
tan(-θ) = -tanθ
so, tan(θ - 14π) = tan{-(14π - θ)}
= -tan(14π - θ) [ as tan(-θ) = -tanθ]
= - tan(7 × 2π - θ)
= tanθ [ as tan(2nπ - θ) = -tanθ, where n is integer ]
hence, simplest form is tanθ
we know, tan(2nπ - θ) = -tanθ
tan(-θ) = -tanθ
so, tan(θ - 14π) = tan{-(14π - θ)}
= -tan(14π - θ) [ as tan(-θ) = -tanθ]
= - tan(7 × 2π - θ)
= tanθ [ as tan(2nπ - θ) = -tanθ, where n is integer ]
hence, simplest form is tanθ
Similar questions