A tangent line to the curve passes through the origin and touches the curve at a…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A tangent line to the curve

y=2\cos x

passes through the origin and touches the curve at a point

P

in the interval

(0,\tfrac{\pi}{2})

. Determine the

x

-coordinate of

P

to three decimal places.