Home
Class 12
MATHS
If tan A & tan B are the roots of the q...

If tan A & tan B are the roots of the quadratic equation a `x^(2) +bx+c=0` then evaluate
`a sin^(2)(A+B)+b sin (A+B).cos (A+B)+cos^(2)(A+B)`

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise 1|47 Videos

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise 2(Level -I)|36 Videos

  • THREE DIMENSIONAL GEOMETRY (3 -D)

    MOTION|Exercise SOLVED EXAMPLE|33 Videos

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

If tan A&tan B are the roots of the quadratic equation,ax^(2)+bx+c=0 then evaluate a sin^(2)(A+B)+b sin(A+B),*cos(A+B)+c cos^(2)(A+B)

If tan A&tan B are the roots of the quadratic equation x^(2)-ax+b=0 ,then the value of sin^(2)(A+B) is:

If tan A and tan B are the roots of the quadratic equation x^(2)-px+q=0 then value of sin^(2)(A+B)

If tan A and tan B are the roots of the quadratic equation, 3x^(2)-10x-25=0, then the value of 3sin^(2)(A+B)-10sin(A+B)*cos(A+B)-25cos^(2)(A+B) is

If tanA and tanB the roots of the quadratic equation, 4x^(2)-7x+1=0 then evaluate 4sin^(2)(A+B)-7sin(A+B)*cos(A+B)+cos^(2)(A+B) .

Given that tan A, tan B are the roots of the equation x^(2)bx+c=0, the value of sin^(2)(alpha+beta) is

If tan A and tan B are the roots of the equation 3x^(2)-10x-25=0 then the value of 25cos^(2)(A+B)+10sin(A+B)cos(A+B)-3sin^(2)(A+B) is

If sin87^(@) and cos87^(@) are the roots of the equation x^(2)-bx+C=0, then the value of b^(^^)2 is :

tan alpha and tan beta are roots of the equation x^(2)+ax+b=0, then the value of sin^(2)(alpha+beta)+a sin(alpha+beta)cos(alpha+beta)+b cos^(2)(alpha+beta) is equal to