3. An arc PQ of a circle of radius r is created with a central angle (in radians) as shown in the figure to the right. Assume the cen- ter of the circle is the origin of the Cartesian coordinate plane (so the point R lies on the x-axis). 0 r A(0) B(0) R O (a) Find the equations of lines tangent to the circle at P and Q (you should have three variables in your answer: x, the unspecified angle 0, and the unspecified radius r). (b) These two tangent lines intersect at a point R. Find it (your answer will also include and r).

3. An arc PQ of a circle of radius r is created with a central angle (in radians) as shown in the figure to the right. Assume the cen- ter of the circle is the origin of the Cartesian coordinate plane (so the point R lies on the x-axis). 0 r A(0) B(0) R O (a) Find the equations of lines tangent to the circle at P and Q (you should have three variables in your answer: x, the unspecified angle 0, and the unspecified radius r). (b) These two tangent lines intersect at a point R. Find it (your answer will also include and r).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 60E

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