Home
Class 11
MATHS
If : a = tan x, b = tan y , c=sqrt(1+a^...

If : `a = tan x, b = tan y ,` `c=sqrt(1+a^(2)),d= sqrt(1+b^(2)), "then" : cd * sin (x+y)=` A)`a-b`B)`a+b`C)`c-d`D)`c+d`

A

a-b

B

a + b

C

c - d

D

c + d

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|175 Videos

  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE

    MARVEL PUBLICATION|Exercise MCQs|101 Videos

Similar Questions

Explore conceptually related problems

If int (dx)/(1- sin ^(4)x )= a tan x +b tan ^(-1) (c tan x )+ D, then:

If cot 52^(@) = b, tan 38^(@) = ? A. sqrt(b) B. sqrt(b)//2 C . - b D. b

If y=tan^(-1)x, then (1+x^(2))y_(2)+2xy_(1)= (a) y(b)0(c)1(d)2

sqrt(1+sin x)f(x)dx=(2)/(3)(1+sin x)^((3)/(2))+c, then f(x) equal cos x(b)sin x(c)tan x(d)1

If : asec^(2) theta - b * tan^(2) theta = c,"then" = sin theta = A) sqrt((a +c)/(b + c) B) sqrt((a -c)/(b - c) C) sqrt((a -c)/(b + c) D) sqrt((a + c)/(b - c)

If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then a sqrt(1-a^(2))+b sqrt(1-b^(2))+c sqrt(1-c^(2)) is equal to a+b+c( b )a^(2)b^(2)c^(2)2abc(d)4abc

If a,b,c are positive real numbers,then sqrt(a^(-1)b)x sqrt(b^(-1)c)x sqrt(c^(-1)a) is equal to: 1 (b) abc(c)sqrt(abc)(d)(1)/(abc)

cot((pi)/(24))=sqrt(a)+sqrt(b)+sqrt(c)+sqrt(d) when a

Distance of the points (a,b,c) for the y axis is (a) sqrt(b^(2)+c^(2)) (b) sqrt(c^(2)+a^(2)) (c )sqrt(a^(2)+b^(2)) (d) sqrt(a^(2)+b^(2)+c^(2))

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MCQs
  1. If : sin (theta + phi) = 2 sin (theta - phi), "then" : tan theta = A)t...

    Text Solution

    |

  2. If sin(x-60^@)=2.cos(x-30^@), then : tanx=.....

    Text Solution

    |

  3. If : a = tan x, b = tan y , c=sqrt(1+a^(2)),d= sqrt(1+b^(2)), "then" ...

    Text Solution

    |

  4. cos^2((pi)/(4)-theta)+cos^2((pi)/(4)+theta)=.....

    Text Solution

    |

  5. cot(pi/12) + cot((3pi)/12) + cos ((9pi)/12)+ cos ((11pi)/12)

    Text Solution

    |

  6. cot,(pi)/(20).cot.(3pi)/(12)+cot.(7pi)/(20)cot.(9pi)/(20)=....

    Text Solution

    |

  7. Statement I : sin^2pi/8+sin^2(3pi)/8+sin^2(5pi)/8+sin^2(7pi)/8=2 State...

    Text Solution

    |

  8. If H is the orthocentre of fDelta ABC, then : sin(angle BHC)=

    Text Solution

    |

  9. If H is the orthocentre of Delta ABC, then : cos(angle AHB)=

    Text Solution

    |

  10. tan theta * (1+cos 2 theta)= A)2 sin thetaB)sin 2 thetaC)2 cos thetaD)...

    Text Solution

    |

  11. (1+sec 2 theta)*sqrt(sec^(2) theta-1)= A)2 sec thetaB)sec 2 thetaC)2 t...

    Text Solution

    |

  12. csc theta - 2 cos theta * cot 2 theta = A)2 sin thetaB)sin 2 thetaC)2 ...

    Text Solution

    |

  13. If : (1+sin theta +cos theta)/(1+sin theta - cos theta)=f((theta)/(2))...

    Text Solution

    |

  14. (1-tan^(2)(45^(@)-A))/(1+tan^(2)(45^(@)-A)) is equal to

    Text Solution

    |

  15. (sin 3 theta)/(sin theta)-(cos 3 theta)/(cos theta)= A) sin 2 thetaB) ...

    Text Solution

    |

  16. (sin 2 theta)/(sin theta)-(cos 2 theta)/(cos theta)= A)sec theta B)ta...

    Text Solution

    |

  17. sin 2 theta * (tan theta + cot theta)= A)sec thetaB)csc thetaC)1D)2

    Text Solution

    |

  18. If sqrt((1-sinx)/(1+sinx))= f(pi/4-x/2) then f=

    Text Solution

    |

  19. cot ((A)/(2))-tan((A)/(2))= A)2 sin AB)2 cos AC)2 tan AD)2 cot A

    Text Solution

    |

  20. 8 sin theta * cos theta * cos 2 theta * cos 4 theta = A)sin 4 thetaB)...

    Text Solution

    |