Home
Class 12
MATHS
Using the fact that sin (A +B) = sin A.c...

Using the fact that `sin (A +B) = sin A.cos B+ cos A sin B` and the differentiation, obtain the sum formula for cosines.

Text Solution

Verified by Experts

The correct Answer is:
`cos A cos B- sin A sin B`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Textbook based MCQs|100 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|96 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Exercise-5.8|20 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Given that sin (A+ B) = sin A cos B + cos A sin B , find the value of sin 75° .

Is it right to say that sin (A+B) =sin A +sin B ? Justify your answer.

In a triangle ABC, sin A- cos B = Cos C , then angle B is

Differentiate (sin x)^(cos x)

In a DeltaABC,3 sin A+4 cos B=6 and 3 cos A+4 sinB=1 , then angleC can be

y = e^(x)(a cos x + b sin x)

If A= 30° and B = 60°, verify that cos (A+ B) = cos A cos B - sin A sin B.

Differentiate sin^(m) x.cos^(n) x

Differentiate sin sqrtx + cos^(2) sqrtx

ABC is a triangle such that sin(2A+B)=sin(C-A)=-sin(B+2C)=1/2 . If A,B, and C are in AP. then the value of A,B and C are:

KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Miscellaneous Exercise - 5
  1. Differentiate w.r.t x the function sin^(-1) (x sqrtx), where 0 le x le...

    Text Solution

    |

  2. Differentiate w.r.t x the function ("cos"^(-1) (x)/(2))/(sqrt(2x + 7))...

    Text Solution

    |

  3. Differentiate w.r.t x the function 0 lt x lt (pi)/(2), cot^(-1) [(sqrt...

    Text Solution

    |

  4. Differentiate w.r.t x the function (log x)^(log x), x gt 1

    Text Solution

    |

  5. Differentiate w.r.t x the function cos (a cos x + b sin x), for some c...

    Text Solution

    |

  6. Differentiate w.r.t x the function (pi)/(4) lt x lt (3pi)/(4), (sin x ...

    Text Solution

    |

  7. Differentiate w.r.t x the function x^(x) + x^(a) + a^(x) + a^(a), for ...

    Text Solution

    |

  8. Differentiate w.r.t x the function x^(x^(2)-3) + (x-3)^(x^(2)), for x ...

    Text Solution

    |

  9. Find (dy)/(dx), if y= 12(1- cos t), x= 10 (t- sin t), -(pi)/(2) lt t l...

    Text Solution

    |

  10. Find (dy)/(dx), If y= sin^(-1) x + sin^(-1) sqrt(1 -x^(2)), 0 le x le ...

    Text Solution

    |

  11. If x sqrt(1 + y) + ysqrt(1 + x)= 0, for -1 lt x lt 1, prove that (dy)/...

    Text Solution

    |

  12. If (x-a)^(2) + (y-b)^(2) = c^(2), for some c gt 0, prove that ([1 + ((...

    Text Solution

    |

  13. If cos y= x cos (a + y), with cos a ne +- 1, prove that (dy)/(dx) = (c...

    Text Solution

    |

  14. If x=a (cos t+ t sin t) and y= a (sin t - t cos t), find (d^(2)y)/(dx^...

    Text Solution

    |

  15. If f(x) = |x|^(3), show that f''(x) exists for all real x and find it

    Text Solution

    |

  16. Using mathematical induction prove that (d)/(dx) (x^(n))= n x^(n-1) fo...

    Text Solution

    |

  17. Using the fact that sin (A +B) = sin A.cos B+ cos A sin B and the diff...

    Text Solution

    |

  18. Does there exist a function which is continuous everywhere but not dif...

    Text Solution

    |

  19. If y= |(f(x),g(x),h(x)),(l,m,n),(a,b,c)|, prove that (dy)/(dx)= |(f'(x...

    Text Solution

    |

  20. If y = e^(a cos^(-1)x) show that (1-x^(2)) (d^(2)y)/(dx^(2))-x (dy)/(d...

    Text Solution

    |