Tan 400 Degrees: Tangent of 400° on the Unit Circle

What is tan 400°?

Answer

tan 400° ≈

0.8391

Angle in radians: 400° = 20π/9. 400° = 360° + 40° — a full turn plus 40°, quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 400° can't be written with square roots: 400° is not a multiple of 3°.

tan 400° = tan(400° − 360°) = tan 40°

tan 400° = sin 400° / cos 400° ≈ 0.8391

P(cos 400°, sin 400°) ≈ (0.7660, 0.6428)

T(1, tan 400°) ≈ (1, 0.8391) — where line OP meets the line x = 1.

+1 turn: the drawing shows 40°.

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