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Show : (2theta-sin2theta)/(theta^(2))(th...

Show : `(2theta-sin2theta)/(theta^(2))(thetagt0)` is maximum at `theta=(pi)/(2)`

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(1-cos2theta)/(sin2theta)=

sin theta +sin 2theta+sin3theta+sin4theta=0

(1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=?

sin2theta - cos2theta =1

Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

sin5theta + sin2theta=0

By using properties of determinats. Prove that- |(sintheta,costheta,sin2theta),(sin(theta+(2pi)/3), cos(theta + (2pi)/3) ,sin(2theta + (4pi)/3)),(sin(theta-(2pi)/3) ,cos(theta - (2pi)/3), sin (2theta - (4pi)/3))|= 0

If x=2 cos theta-cos 2 theta and y=2 sin theta-sin 2 theta , then the value of (d^(2)y)/(dx^(2)) at theta=(pi)/(2) is -

Prove that (cos2theta)/(1+sin2theta)=tan(pi/4-theta) .

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

CHHAYA PUBLICATION-MAXIMA AND MINIMA -EXERCISE Short Answer Type Questions
  1. Show : x^(2)"log"(1)/(x) is maximum at x=(1)/(sqrt(e))

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  2. Show : sinx(1+cosx) is maximum at x=(pi)/(3)

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  3. Show : (2theta-sin2theta)/(theta^(2))(thetagt0) is maximum at theta=...

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  4. If (x)/(2)+(y)/(3)=1 , find the minimum value of x^(2)+y^(2).

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  5. If 2x+3y=4 , find the maximum or minimum value of xy.

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  6. Show that , the difference between the maximum and minimum values of ...

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  7. Find the critical points of each of the following functions : sin2...

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  8. Find the critical points of each of the following functions : y=e^(...

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  9. Find the critical points of each of the following functions : f(x)=...

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  10. The perimeter of a rectangle is 100 cm. If the area of the rectangle ...

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  11. Show that , of all rectangles of given permeter , the square has the g...

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  12. Prove that , of all rectangles of given area , the square has the leas...

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  13. Find the dimensions of the rectangle of maximum perimeter that can be ...

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  14. The perimeter of a triangle is 8 cm .If one of the sides is 3 cm , fin...

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  15. A printed page is to contain 96cm^(2) of printed area , a margin of 1....

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  16. The height of a particle projected with velocity u at an angle alpha ...

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  17. What will be the radius of the base of a solid circular cylinder of vo...

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  18. The function f(x)=4x^(3)+ax^(2)+bx+2 has an extremum at (2,-2) , find...

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  19. The cost c of manufacturing a certain article is given by the formula...

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  20. Determine when will the function sin3x-3sinx will be greatest or least...

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