Home
Class 12
MATHS
The value of cos y cos (pi/2-x)-cos (pi/...

The value of `cos y cos (pi/2-x)-cos (pi/2 - y) cos x + sin y cos (pi/2-x)+cos x sin (pi/2 - y)` is zero if

A

`x=0`

B

`y=0`

C

`x=y+(pi)/(4)`

D

`x=(3pi)/(4)+y`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

The value of cosycos(pi/2-x)-cos(pi/2-y)cosx+sinycos(pi/2-x)+cosxsin(pi/2-y) is zero if (A) x=0 (B) y=0 (C) x=y (D) npi+y-pi/4(n in Z)

The value of cosycos(pi/2-x)-cos(pi/2-y)cosx+sinycos(pi/2-x)+cosxsin(pi/2-y) is zero if x=0 (b) y=0 x=y (d) npi+y-pi/4(n in Z)

The value of cos(pi+x)cos(pi+x)sec^(2)x is

Show that: sin(pi/2 - x) = cos x

The period of sin(pi/4)x+cos(pi/2)x+cos(pi/3)x is

(cos(pi-x)cos(-x))/(sin(pi-x)cos(pi/2+x))=cot^(2)x

If cos(pi/4-x)cos2x+sinxsin2xsecx=cos x sin 2x sec x+cos(pi/4+x)cos 2x then possible value of sec x is

(cos (pi+x).cos(-x))/(sin(pi-x).cos(pi/2+x)) = cot^2x

56.The value of cos^(2)x+cos^(2)y-2cos x cos y cos(x+y) is (A) sin(x+y) (B) sin^(2)(x+y) (C) sin(x+y) (D) sin(x+y)

Solve cos 2x=|sin x|, x in (-pi/2, pi) .

OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. If a(r+1)=sqrt(1/2 ( 1+a(r))), the prove that cos((sqrt(1-a(0)^(2))...

    Text Solution

    |

  2. If alpha,beta,gamma,delta are the smallest positive angles in ascendin...

    Text Solution

    |

  3. The value of cos y cos (pi/2-x)-cos (pi/2 - y) cos x + sin y cos (pi/2...

    Text Solution

    |

  4. If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(...

    Text Solution

    |

  5. The expression cosec^(2)A cot^(2)A-sec^(2)A tan^(2)A-(cot^(2)A-tan^(...

    Text Solution

    |

  6. If sin alpha -cos alpha = m, then the value of sin^6alpha+cos^6alpha i...

    Text Solution

    |

  7. The value of x , 0 le x le (pi)/2 which satisfy the equation 81^( si...

    Text Solution

    |

  8. If cos(A-B)=3/5 and tan A tan B=2, then (a) cos Acos B=1/5 (b) sin A ...

    Text Solution

    |

  9. The value of (3+cot76^@cot16^@)/(cot76^@+cot16^@) is

    Text Solution

    |

  10. If sin x+sin^(2)x=1, " then " cos^(8)x+2 cos^(6)x+cos^(4)x=

    Text Solution

    |

  11. If a=b cos((2pi)/3)= c cos((4pi)/3), then write the value of a b+b c+c...

    Text Solution

    |

  12. If sinα.sinβ−cosα.cosβ+1=0 then show that 1+cotα.tanβ=0

    Text Solution

    |

  13. If sintheta(1)+sintheta(2)+sintheta(3)=3, then cos theta(1)+cos theta(...

    Text Solution

    |

  14. If A lies in the third quadrant and 3 tan A-4 = 0, then 5 sin 2A + 3si...

    Text Solution

    |

  15. tan 5x tan3x tan2x=

    Text Solution

    |

  16. The value of sin12^(@)sin24^(@)sin48^(@)sin84^(@), is

    Text Solution

    |

  17. If A+B+C=(3pi)/2, t h e ncos2A+cos2B+cos2C is equal to 1-4cos Acos Bc...

    Text Solution

    |

  18. If A+C=B,then tanA tanBtanC=

    Text Solution

    |

  19. If tan(cotx)=cot(tanx), then sin2x is equal to

    Text Solution

    |

  20. If tan theta=a/b then b cos 2theta+asin 2theta=

    Text Solution

    |