Home
Class 12
MATHS
If tantheta =3," then " (sintheta-costhe...

If `tantheta =3," then " (sintheta-costheta)/(sintheta+costheta)` is equal to

A

0

B

1

C

`1/2`

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
`5tantheta=4ortantheta=4/5`
Now, `(5sintheta-3costheta)/(5sintheta+2costheta)=(5(sintheta)/costheta-3)/(5sintheta/tantheta+2)`
`=(5tantheta-3)/(5tantheta+2)`
`=(5xx4/5-3)/(5xx4/5+2)=1/6`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|17 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise Linked Comprehension Type|11 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise Concept Application Exercises 2.14|1 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE PUBLICATION|Exercise Archives (Numerical value type)|4 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|2 Videos

Similar Questions

Explore conceptually related problems

If 5tantheta=4, then (5sintheta-3costheta)/(5sintheta+2costheta) is equal to

(1+sintheta-costheta)/(1+sintheta+costheta) =

If tantheta =-4/3," then " costheta is

If tantheta=-4/3,then sintheta is

(costheta + isintheta)^4/(sintheta + icostheta)^5 is equal to.

int(cos2theta)/((sintheta+costheta)^2)d theta is equal to

3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta+cos^6theta) is equal to 11 (b) 12 (c) 13 (d) 14

The value of int(1)/(sintheta+costheta)d theta is equal to ?

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS -Exercises
  1. If tantheta =3," then " (sintheta-costheta)/(sintheta+costheta) is equ...

    Text Solution

    |

  2. If tantheta =-4/3," then " costheta is

    Text Solution

    |

  3. If cosx+secx=2," then "cos^nx+sec^nx is equal to

    Text Solution

    |

  4. If tantheta+sintheta=mandtantheta-sintheta=n,then

    Text Solution

    |

  5. If cosectheta+cottheta=m, then the value of cosectheta is

    Text Solution

    |

  6. If (sinx)/a=(cosx)/b=(tanx)/c=k , then b c+1/(c k)+(a k)/(1+b k) is eq...

    Text Solution

    |

  7. If sec^4theta+sec^2theta=10+tan^4theta+tan^2theta", then "sin^2theta=

    Text Solution

    |

  8. If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1...

    Text Solution

    |

  9. If secalpha and cosecalpha are the roots of the equation x^2-px+q=0, t...

    Text Solution

    |

  10. Which of the following is not the quadratic equation whose roots are c...

    Text Solution

    |

  11. If sinx+sin^2x=1n then the value of cos^12x+3cos^10x+3cos^8x+cos^6x-1 ...

    Text Solution

    |

  12. 3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta+cos^6theta)...

    Text Solution

    |

  13. If secx+sec^2x=1 then the value of tan^8x-tan^4x-2tan^2x+1 will be equ...

    Text Solution

    |

  14. (1-tanalphatanbeta)^2+(tanalpha+tanbeta)^2=

    Text Solution

    |

  15. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  16. A circle is drawn in a sector of a larger circle of radius r , as show...

    Text Solution

    |

  17. A right triangle has perimeter of length 7 and hypotenuse of length 3....

    Text Solution

    |

  18. Given that the side length of a rhombus is the geometric mean of the ...

    Text Solution

    |

  19. Which of the following is correct?

    Text Solution

    |

  20. The equation sin^2theta=(x^2+y^2)/(2x y),x , y!=0 is possible if

    Text Solution

    |