Unit Circle - Tangent Functions Flashcards

Tangent Values on the Unit Circle

• tan 0° is equal to 0.
• tan π/6 gives the value of √3/3.
• tan π/4 results in 1, a key angle in trigonometry.
• tan π/3 equals √3, indicating an inclination at this angle.
• tan π/2 is undefined, indicating a vertical asymptote at this angle.
• tan 2π/3 results in -√3, reflecting a negative tangent in the second quadrant.
• tan 3π/4 is -1, which is another key angle.
• tan 5π/6 yields -√3/3, also negative and occurring in the second quadrant.
• tan π equals 0, repeating the value of tan 0°.
• tan 7π/6 gives √3/3, showcasing the periodic nature of tangent values.
• tan 5π/4 results in 1, reaffirming that it shares the same line as π/4.
• tan 4π/3 equals √3, similar to the value at π/3.
• tan 3π/2 is undefined, similar to tan π/2.
• tan 5π/3 results in -√3, showing its symmetry with angles in the third quadrant.
• tan 7π/4 gives -1, reinforcing the periodicity of the tangent function.
• tan 11π/6 results in -√3/3, reflecting its position in the fourth quadrant.
• tan 2π returns to 0, indicating that the cycle completes at this angle.