Which of the following statements is FALSE? O If the tangent line of a curve at a point is is a vertical line then its slope is O The slope of the normal line to a curve is equal to the negative reciproca slope of the tangent line to the curve at the same point. O The tangent line and the normal line to a curve at a given point are alwa perpendicular to each other. O The product of the slope of the tangent line and the normal line of a cur

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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exercise 22

Which of the following statements is FALSE?
O If the tangent line of a curve at a point is is a vertical line then its slope is 0.
O The slope of the normal line to a curve is equal to the negative reciprocal of the
slope of the tangent line to the curve at the same point.
O The tangent line and the normal line to a curve at a given point are always
perpendicular to each other.
O The product of the slope of the tangent line and the normal line of a curve at a
point is always -1.
Transcribed Image Text:Which of the following statements is FALSE? O If the tangent line of a curve at a point is is a vertical line then its slope is 0. O The slope of the normal line to a curve is equal to the negative reciprocal of the slope of the tangent line to the curve at the same point. O The tangent line and the normal line to a curve at a given point are always perpendicular to each other. O The product of the slope of the tangent line and the normal line of a curve at a point is always -1.
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