Home
Class 12
MATHS
If 0 lt x lt pi , and cos x+ sin x =1/...

If `0 lt x lt pi ` , and ` cos x+ sin x =1//2`, then ` tan x=`

A

`-(4+sqrt(7))//3`

B

`(1+sqrt(7))//4`

C

`(1-sqrt(7))//4`

D

`(4-sqrt(7))//4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 D ( TRANSFORMATIONS )|94 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 E ( TRIGONOMETRIC IDENTITIES )|49 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 B ( COMPOUNDS ANGLES )|106 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If 0 lt x lt pi and cos x + sin x=1/(2) , then tanx =

For 0 lt x le pi, sin h^(-1)(cot x) =

f(x) = {{:((1 + |sin x|)^((p)/(|sinx|)) " if " - pi //6 lt x lt 0 ),(e^((sin 2x )/(sin3x) )" if " 0 lt x lt pi //6 ):} and f(0) = q is continuous at x = 0 then

For 0 lt x lt (pi)/(2) , prove that cos (sin x) gt sin (cos x) .

Let f(x) = {:{( sin x +cos x, 0 lt x lt (pi)/(2) ),( a, x = pi//2) , ( tan ^(2) x + cosecx , pi//2lt xlt pi ):} then its odd extension is

If sin x + cos x + tan x + cot x + sec x + cosec x = 7, 0 lt x lt pi//2 and sin = 2x=a-b sqrt(7) then (a, b in Z^(+))

If -1 lt x lt 0," then "cos^(-1)x is equal to

For 0 lt x lt (pi)/(2),(sin x )/(cos x )*( sec x)/("cosec" x)*( tan x)/(cot x )=9 . Then x=

If 1+sin x + sin^(2)x +….oo = 4 + 2sqrt(3), 0 lt x lt pi, x ne pi//2 then x =

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )
  1. If cos theta =(1)/(2)(a+(1)/(a)), then cos 2 theta =

    Text Solution

    |

  2. If 0 lt theta lt pi//4 , " then " sqrt(2+sqrt(2+2cos 4 theta ))=

    Text Solution

    |

  3. If 0 lt x lt pi , and cos x+ sin x =1//2, then tan x=

    Text Solution

    |

  4. If x cos alpha = y cos ( 2pi//3+ alpha ) = z cos ( 4pi//3+ alpha ) , "...

    Text Solution

    |

  5. If (x)/(tan( theta + alpha ))=(y)/(tan (theta + beta ))=(z)/(tan ( the...

    Text Solution

    |

  6. If (x)/( cos theta ) = (y) /( cos (theta - 2pi//3))=(z)/( cos ( theta ...

    Text Solution

    |

  7. If log2(sinx)-log2(cos x)-log2(1-tan x)-log2(1+ tan x)=-1 then tan 2...

    Text Solution

    |

  8. tan x+ tan(x+(pi)/(3))+ tan(x+(2pi)/(3))=3impliestan 3 x=

    Text Solution

    |

  9. If tan theta + tan ( theta + (pi)/(3))+ tan ( theta + (2pi)/(3))=3 , ...

    Text Solution

    |

  10. If tan 35^(@) = k , then the value of ( tan 145^(@) - tan 125^(@))/...

    Text Solution

    |

  11. If "cosec" theta = (p+q)/(p-q) " then " cot((pi)/4+( theta )/(2))=

    Text Solution

    |

  12. If sec ( theta - alpha ) , sec theta , sec ( theta + alpha ) are in ...

    Text Solution

    |

  13. If A=340^(@) " then " sqrt(1- sin A)-sqrt(1+ sin A)=

    Text Solution

    |

  14. If tan^(2) A= 2 tan ^(2) B+1, then 2 cos 2A + 1=

    Text Solution

    |

  15. If tan^(2) A= 2 tan ^(2) B+1, "then " cos 2A + sin^(2)B =

    Text Solution

    |

  16. If 2 tan A=3 tan B , " then " tan (A-B)=

    Text Solution

    |

  17. If tan A = 1//2 , tan B=1//3 " then " cos 2A=

    Text Solution

    |

  18. If cos alpha = (3)/(5) , cos beta =(5)/(13) , "then " cos^(2) ((alpha...

    Text Solution

    |

  19. cos""(2pi)/(15) cos ""(4pi)/(15)""cos(8pi)/(15) cos""(16pi)/(15)=

    Text Solution

    |

  20. Prove that cos. (pi)/(11). cos . (2 pi)/(11). cos . (3 pi)/(11) cos. (...

    Text Solution

    |