Home
Class 12
MATHS
The value of (tan^(2)20^(@)-sin^(2)20^(@...

The value of `(tan^(2)20^(@)-sin^(2)20^(@))/(tan^(2)20^(@).sin^(2)20^(@))` is

A

`1//2`

B

1

C

2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B

`tan^(2)-20^(@)-sin^(2)20^(@)=tan^(2)20^(@)(1-cos^(2)20^(@))=tan^(2)20^(@)sin^(2)20^(@)`.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise JEE Advanced Previous Year|2 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Archives (Matrix Match Type)|1 Videos
  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Matrix Match Type|1 Videos

Similar Questions

Explore conceptually related problems

The value of 2(cos^(2)20^(@)+cos^(2)140^(@)+cos^(2)100^(@)) is

The value of the expression (tan^2 20^0-sin^2 20^0)/(tan^2 20^0+sin^2 20^0) is__________

The value of (2sin40^(@).sin50^(@).tan10^(@))/(cos 80^(@)) is

The value of the expression (sin40^(@))/(sin80^(@))+(sin80^(@))/(sin20^(@))-(sin20^(@))/(sin40^(@)) is

The value of tan 20^(@) tan 40^(@) tan 80^(@) is equal to

Find the value of (cos63^(@)20')/(sin26^(@)40')

Find the value of sin^(2)30+cos^(2)60+tan^(2)45 .

The value of lim_(xto(1)/(sqrt(2))) (x-cos(sin^(-1)x))/(1-tan(sin^(-1)x))" is "

The value of 3sin70^(@)sec20^(@)+2sin49^(@)sec51^(@) is…………….

The value of sin(2(tan^(-1)0.75) is ………..

CENGAGE-TRIGONOMETRIC FUNCTIONS -SINGLE CORRECT ANSWER TYPE
  1. sintheta/(1-cottheta)+costheta/(1-tantheta)= (a)theta (b)1 (c)costh...

    Text Solution

    |

  2. If theta in (pi//4, pi//2) and sum(n=1)^(oo)(1)/(tan^(n)theta)=sin the...

    Text Solution

    |

  3. The value of (tan^(2)20^(@)-sin^(2)20^(@))/(tan^(2)20^(@).sin^(2)20^(@...

    Text Solution

    |

  4. If 15 sin^(4)alpha+10cos^(4)alpha=6, then the value of 8 cosec^(6)alph...

    Text Solution

    |

  5. In DeltaABC, if sin A + sin B + sin C= 1 + sqrt2 and cos A+cos B+cos...

    Text Solution

    |

  6. If (sin^(2)x-2cos^(2)x+1)/(sin^(2)x+2cos^(2)x-1)=4, then the value of ...

    Text Solution

    |

  7. If sintheta,tantheta,costheta are in G.P. then 4sin^2theta-3sin^4theta...

    Text Solution

    |

  8. If tantheta-cottheta=aandsintheta+costheta=b(b^2-1)^2(a^2+4) is equal...

    Text Solution

    |

  9. The least value of 18 sin^(2)theta+2 cosec^(2)theta-3 is

    Text Solution

    |

  10. If tan^2 alpha tan^2 beta + tan^2 beta tan^2 gamma + tan^2 gamma tan^2...

    Text Solution

    |

  11. If x,y,z be all positive acute angles then the least value of tanx(cot...

    Text Solution

    |

  12. Three circles each of radius 1, touch one another externally and they ...

    Text Solution

    |

  13. If (cos alpha)/(cos A)+(sin alpha)/(sin A)+(sin beta)/(sin A)=1, where...

    Text Solution

    |

  14. Consider angles alpha = (2n+(1)/(2))pi pm A and beta = m pi +(-1)^(m)(...

    Text Solution

    |

  15. Which of the following is true ?

    Text Solution

    |

  16. If the angle A of a triangle ABC is given by the equation 5 cos A + 3 ...

    Text Solution

    |

  17. Which of the following is greatest ?

    Text Solution

    |

  18. The number of value/values of x for which sin y=x^(2)-2x si possible i...

    Text Solution

    |

  19. Which of the following is not correct ?

    Text Solution

    |

  20. If sin^(4)alpha+cos^(4)beta+2=4 sin alpha cos beta, 0 le alpha, (pi)/(...

    Text Solution

    |