Home
Class 12
MATHS
If costheta1 2costheta2, then tan(theta(...

If `costheta_1 2costheta_2,` then `tan(theta_(1-theta_2))/2tan(theta_1+theta_2)/2` is equal to `1/3` (b) `-1/3` `1` (d) `-1`

A

`(1)/(3)`

B

`-(1)/(3)`

C

1

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
B
`sin27^(@)-sin63^(@)=-2cos45^(@)sin18^(@)`
`rArr tan(x+y)=((4sqrt(5))/(3sqrt(3)))/(1-(15)/(27))=(4sqrt(5)xx27)/(12xx3sqrt(3))=sqrt(13)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise (Multiple)|22 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise (Comprehension)|20 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise 3.10|5 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Multiple Correct Answers Type|6 Videos

Similar Questions

Explore conceptually related problems

If costheta_1 =2costheta_2, then tan((theta_1-theta_2)/2)tan((theta_1+theta_2)/2) is equal to (a) 1/3 (b) -1/3 (c) 1 (d) -1

If sintheta=costheta then 2tan^(2)theta+sin^(2)theta-1=___ .

If sintheta_1sintheta_2-costheta_1costheta_2+1=0, then the value of tan((theta_1)/2)cot((theta_2)/2) is equal to (a) -1 (b) 1 (c) 2 (d) -2

If tanbeta = costheta*tanalpha , then tan^2(theta/2) is equal to

(sintheta+sin2theta)/(1+costheta+cos2theta)

Prove that (1-costheta +cos2theta )/(sin2theta -sintheta)=cottheta

The value of sin^(2)theta+(1)/(1+tan^(2)theta) is equal to

If theta_1 and theta_2 are two values lying in [0,2pi] for which t a ntheta=lambda, then tan((theta_1)/2)tan((theta_2)/2) is equal to (a)0 (b) -1 (c) 2 (d) 1

Prove that (sintheta +sin2theta)/(1+costheta +cos2theta)=tantheta

CENGAGE-TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS-Exercise (Single)
  1. In a A B C , if tanB :tanC=3:4:5, then the value of sinA sinB sinC is...

    Text Solution

    |

  2. find the value of sin 27^(@)-cos27^(@)?

    Text Solution

    |

  3. If costheta1 2costheta2, then tan(theta(1-theta2))/2tan(theta1+theta2)...

    Text Solution

    |

  4. Let alpha, beta" such that "pi lt alpha-beta lt 3pi." If sin "alpha+si...

    Text Solution

    |

  5. If n=pi/(4alpha), then tanalpha tan 2alpha tan 3 alpha........tan(2n-1...

    Text Solution

    |

  6. (sin3theta+sin5theta+sin7theta+sin9theta)/(cos3theta+cos5theta+cos7the...

    Text Solution

    |

  7. If x , y , z are in A.P., then (sinx-sinz)/(cosz-cosx) is equal to tan...

    Text Solution

    |

  8. If (cosx)/a=(cos(x+theta))/b=(cos(x+20))/c=(cos(x+3theta))/d then (a+c...

    Text Solution

    |

  9. If cos alpha + cos beta =0 = sin alpha + sin beta , then cos...

    Text Solution

    |

  10. Value of (3+cot80^0cot20^0)/(cot80^0+cot20^0) is equal to cot20^0 (b)...

    Text Solution

    |

  11. If tanalpha is equal to the integral solution of the inequality 4x^2-1...

    Text Solution

    |

  12. Let f(n)=2cosn xAAn in N , then f(1)f(n+1)-f(n) is equal to f(n+3) (...

    Text Solution

    |

  13. If sintheta1sintheta2-costheta1costheta2+1=0, then the value of tan((t...

    Text Solution

    |

  14. (sqrt(2)-sinalpha)/(sinalphapi-cosalphapi) is equal to sec(alpha/2-pi/...

    Text Solution

    |

  15. If x1a n dx2 are two distinct roots of the equation acosx+bsinx=c , th...

    Text Solution

    |

  16. If sin(y+z-x),sin(z+x-y),"sin"(x+y-z) are in A.P., then t a n x ,tany ...

    Text Solution

    |

  17. If (tan(alpha+beta+gamma))/("tan"(alpha-beta-gamma))=(tangamma)/(tanbe...

    Text Solution

    |

  18. If sintheta1sintheta2-costheta1costheta2+1=0, then the value of tan((t...

    Text Solution

    |

  19. The value of expression (2(sin1^0+sin2^0+sin3^0++sin89^0)/(2(cos1^0+co...

    Text Solution

    |

  20. If A,B,C, are the angles of a triangle such that cotA/2=3tanC/2, then ...

    Text Solution

    |