Home
Class 11
MATHS
If t a ntheta1t a ntheta2=k , then ("cos...

If `t a ntheta_1t a ntheta_2=k ,` then `("cos"(theta_1-theta_2))/("cos"(theta_1+theta_2))=` `(1+k)/(1-k)` b. `(1-k)/(1+k)` c. `(k+1)/(k-1)` d. `(k-1)/(k+1)`

A

`(1+k)/(1-k)`

B

`(1-k)/(1+k)`

C

`(k+1)/(k-1)`

D

`(k-1)/(k+1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE

    MARVEL PUBLICATION|Exercise MCQs|101 Videos
  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|175 Videos

Similar Questions

Explore conceptually related problems

If tan theta_(1).tantheta_(2)=k , then: (cos(theta_(1)-theta_(2))/(cos(theta_(1)+theta_(2)))=

If tan theta_(1)tan theta_(2)=k, then (cos(theta_(1)-theta_(2)))/(cos(theta_(1)+theta_(2)))=(1+k)/(1-k) b.(1-k)/(1+k) c.(k+1)/(k-1) d.(k-1)/(k+1)

if tan theta_(1)=k cot theta_(2) then find (cos(theta_(1)-theta_(2)))/(cos(theta_(1)+theta_(2)))=

If cos ec theta+cot theta=k then prove that cos theta=(k^(2)-1)/(k^(2)+1)

If k_(1)=tan27 theta-tan theta and k_(2)=(sin theta)/(cos3 theta)+(sin3 theta)/(cos9 theta)+(sin9 theta)/(cos27 theta)

If (1-t a nthetat a ntheta1)(1t a ntheta-t a ntheta1)=[a-bb a] , then a=cos2theta b. a=1 c. b=s in2theta d. b=-1

If sec theta+tan theta=k,cos theta=(k^(2)+1)/(2k)b(2k)/(k^(2)+1)c*(k)/(k^(2)+1)d*(k)/(k^(2)-1)

If sin^(6)theta+cos^(6)theta+k cos^(2)2 theta=1, then k=

If (cos^(2)theta)/(1-tantheta)+(sin^(3)theta)/(sintheta-costheta)=K+sinthetacostheta , then K = ?

If tan^(2)theta=1-k^(2), show that sec theta+tan^(3)theta.cos ec theta=

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE-MCQs
  1. If, in a DeltaABC,tanA=1andtanB=2, then: tanC= (a) 1 (b) 2 (c) 3 (d) 4

    Text Solution

    |

  2. If, in a DeltaABC,tanA=1andtanB=2, then: tanC=

    Text Solution

    |

  3. The value of sin^2 75^0-sin^2 15^0 is 1//2 b. sqrt(3)//2 c. 1 d. 0

    Text Solution

    |

  4. If DeltaABC is a right-angled at A, then: cos^2B+cos^2C=

    Text Solution

    |

  5. sin^6A+cos^6A+3sin^2A.cos^2A=

    Text Solution

    |

  6. If cos(A-B)=3/5and tan A tanB=2, then

    Text Solution

    |

  7. If A, B, C, D be the angles of acyclic quadrilateral, show that : cosA...

    Text Solution

    |

  8. If sin.alpha/2+cos.alpha/2=1.4, then: sinalpha=

    Text Solution

    |

  9. If tanalpha+cotalpha=m then value of tan^4alpha+cot^4alpha is

    Text Solution

    |

  10. If cos theta+cos phi=a and sin theta - sin phi=b, then: 2cos(theta + p...

    Text Solution

    |

  11. If sinx+cosecx=2, then, for all n in N, the value of: sin^nx+cosec^nx=...

    Text Solution

    |

  12. If sinA+sinB+sinC=(3sqrt3)/(2). then: DeltaABC is (a) isosceles (b) ri...

    Text Solution

    |

  13. In triangle ABC, cos^2A + cos^2B - cos^2C = 1, then the triangle is ne...

    Text Solution

    |

  14. If tanx=b//a, then: acos2x+bsin2x=

    Text Solution

    |

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

    Text Solution

    |

  16. If t a ntheta1t a ntheta2=k , then ("cos"(theta1-theta2))/("cos"(theta...

    Text Solution

    |

  17. tan 5x.tan3x.tan2x=

    Text Solution

    |

  18. If a+btantheta=secthetaandb-atantheta=2sectheta, then: a^2+b^2=

    Text Solution

    |

  19. If cos25^0+sin25^0=p , then cos50^0 is sqrt(2-p^2) (b) -sqrt(2-p^2) ...

    Text Solution

    |

  20. If tan(x+y)=33 and x= tan^(-1) 3 then y will be

    Text Solution

    |