AngryOrangeOctopus Posted February 20, 2012 Report Share Posted February 20, 2012 Hello,I was tutoring a mate of mine and I came across this problem:Area The included angle of the two sides of constant equal length s of an isosceles triangle is theta. a) Show that the area of the triangle is given by A = 1/2s^2 sin(theta).b) If theta is increasing at the rate of 1/2 radian per minute, find the rates of change of the area when theta = pi/6 and theta = pi/3.c) Explain why the rate of change of the area of the triangle is not constant even though dtheta/ dt is constant.I can find a but I can't figure out how to do b and c. Any suggestions as to solve it? Reply Link to post Share on other sites More sharing options...
dessskris Posted February 20, 2012 Report Share Posted February 20, 2012 a) just use the formula for Area in the data booklet. otherwise use vectors (cross product) b) want to find: known: from the formula in part A, you can find c) you'll later find that the expression is a function instead of a constant that's why it's not constant. 1 Reply Link to post Share on other sites More sharing options...
Grassroot Posted February 21, 2012 Report Share Posted February 21, 2012 clear answer above...... Reply Link to post Share on other sites More sharing options...
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