How do I find the value of tan 6π? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer VNVDVI Apr 11, 2018 tan(6π)=tan(π)=0 Explanation: Tangent has a period of π, meaning tan(a)=tan(a+nπ) where n is any positive or negative integer. So, tan(6π)=tan(6π−5π)=tan(π)=0 Answer link Related questions How do you find the trigonometric functions of any angle? What is the reference angle? How do you use the ordered pairs on a unit circle to evaluate a trigonometric function of any angle? What is the reference angle for 140∘? How do you find the value of cot300∘? What is the value of sin−45∘? How do you find the trigonometric functions of values that are greater than 360∘? How do you use the reference angles to find sin210cos330−tan135? How do you know if sin30=sin150? How do you show that (cosθ)(secθ)=1 if θ=π4? See all questions in Trigonometric Functions of Any Angle Impact of this question 6019 views around the world You can reuse this answer Creative Commons License