Home
Class 12
MATHS
Show that sin^(P) theta cos^(q) theta at...

Show that `sin^(P) theta cos^(q) theta` attains a maximum value, when `theta = tan^(-1) sqrt((p)/(q))`.

Text Solution

Verified by Experts

The correct Answer is:
`tan x = ((p)/(q))^((1)/(2))`
Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 4

    ARIHANT PRAKASHAN|Exercise Section - B |26 Videos
  • VERY SIMILAR TEST 2

    ARIHANT PRAKASHAN|Exercise SECTION -C |13 Videos
  • VERY SIMILAR TEST 5

    ARIHANT PRAKASHAN|Exercise SECTION C|12 Videos

Similar Questions

Explore conceptually related problems

Evaluate : int (d theta)/(4cos^2 theta + 9 sin^2 theta)

If x=2cos theta-cos 2theta and y=2sin theta-sin 2 theta , then prove that (dy)/(dx)=tan((3theta)/(2))

Solve the following: cos 2theta - cos theta = sin theta - sin 2theta

Find the slope of the normal to the curve x = a cos^(3) theta and y = a sin^(3) theta "at" theta = (pi)/(4)

Prove that tantheta(1+sec2theta)=tan2theta

An isosceles triangle of vertical angle 2 theta is inscribed in a circle of radius a. Show that the area of triangle is maximum when theta = (pi)/(6) .

Prove that: y = (4 sin theta)/(2 +cos theta)- theta is an increasing function in [0,pi/2]

If A = cos^2theta + sin^4theta then prove that for all values of theta, (3)/4 leAle1.