Usually a straight line that touches a curve at one point. At the point of contact, the tangent is perpendicular to the radius of curvature.
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If your question is " What is the shape of a sphere's tangent?" , then the answer is : a plane. A plane basically touches the sphere at only one point and hence , it should be a plane. It cannot be a straight line , as a straight line is a tangent for 2D objects,( ie.) a circle.
A tangent is an object, like a line, which touches a curve. The tangent only touches the curve at one point. That point is called the point of tangency. The tangent does not intersect (pass through) the curve.
you solve secant angles when you have the hypotenuse and adjacent sides. sec=1/cos or, cos^-1 (reciprocal identity property) Tangent is solved when you have adjacent and opposite sides, or you can look at it as its what you use when you dont have the hypotenuse. tan=sin/cos or tan=opp/adj or tan=y/x
tangent tables are used to find values of all angles..precisely..like tan 15 degress and 25 minutes.
A common tangent is a line which is tangent to two (or more) curves.