Home
Class 12
MATHS
Let f(x)=((2008)^x+(2008)^(-x))/2,g(x)=(...

Let `f(x)=((2008)^x+(2008)^(-x))/2,g(x)=((2008)^x-(2008)^(-x))/2` then prove that `f(x+y)=f(x)f(y)+g(x)g(y)`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - H) Multiple True-False Type Questions|4 Videos

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|13 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos

Similar Questions

Explore conceptually related problems

Range of f(x)=(2008^(x)+2008^(-x))/(2) is

Let x=(2008)^(1004)+(2008)^(-1004) and y=(2008)^(1004)-(2008)^(-1004) then the value of x^(2)-y^(2)

If f(x)=log_(e)x and g(x)=e^(x) , then prove that : f(g(x)}=g{f(x)}

If f(x)=(1)/(2)(3^(x)+3^(-x)),g(x)=(1)/(2)(3^(x)-3^(-x)) then f(x)g(y)+f(y)g(x)=

x^(2009) xx(1)/(x^(2008))=x

If y=|f(x)g(x)h(x)lmnabc|, prove that (dy)/(dx)=|f'(x)g'(x)h'(x)lmnabc|

Let f(x)=x^(2)+xg^(2)(1)+g'(2) and g(x)=f(1)*x^(2)+xf'(x)+f''(x) then find f(x) and g(x)

Let f(x)=x^(2)+xg'(1)+g''(2) and g(x)=f(1).x^(2)+xf'(x)+f''(x) then

Let f(x)=(2007^(x))/(2007^(x)+sqrt(2007)) Then find the value of quad 2007^(x)+sqrt(2007)(1)/(2)+f((2)/(2008))+f((3)/(2008))+...+f((2007)/(2008))

Knowledge Check

  • Let f(x)=x^(2)+xg'(1)+g''(2) and g(x)=f(1).x^(2)+xf'(x)+f''(x) then

    A
    `f'(1)+f'(2)=0`
    B
    `g'(2)=g'(1)`
    C
    `g''(2)+f''(3)=6`
    D
    none of these