1

**:**an abrupt change of course

**:**digression

the speaker went off on a tangent

2

a

**:**the trigonometric function that for an acute angle is the ratio between the leg opposite to the angle when it is considered part of a right triangle and the leg adjacent

b

**:**a trigonometric function that is equal to the sine divided by the cosine for all real numbers θ for which the cosine is not equal to zero and is exactly equal to the tangent of an angle of measure θ in radians

3

**:**a line that is tangent

specifically

**:**a straight line that is the limiting position of a secant of a curve through a fixed point and a variable point on the curve as the variable point approaches the fixed point4

**:**a small upright flat-ended metal pin at the inner end of a clavichord key that strikes the string to produce the tone

1

a

**:**meeting a curve or surface in a single point if a sufficiently small interval is considered

straight line tangent to a curve

b(1)

**:**having a common tangent line at a point

tangent curves

(2)

**:**having a common tangent plane at a point

tangent surfaces

2

**:**diverging from an original purpose or course

**:**irrelevant

tangent remarks

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Merriam-Webster unabridged
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