Home
Class 12
MATHS
If sec x cos 5x + 1 =0, 0 lt x lt 2pi, t...

If `sec x cos 5x + 1 =0, 0 lt x lt 2pi`, then x =

A

`(n-1)pi//3` or `(2n-1)pi//4`

B

`(n+1)pi//3` or `(2n+1)pi//4`

C

`(2n-1)pi//5` or `(2n+1)pi//4`

D

`(2n+1)pi//6` or `(2n+1)pi//4`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 1|4 Videos

  • TRIGONOMETRIC EQUATIONS

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

  • TRIGONOMETRIC EQUATIONS

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

  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|3 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPEICAL TYPE QUESTIONS ) SET -4|20 Videos

Similar Questions

Explore conceptually related problems

Solve the following equations and write general solutions sec x cos 5x + 1 = 0, 0 lt x lt 2pi

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^(+))

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 f(x)=(a^(2)-b^(2))^(-1//2).cos^(-1)((acosx+b)/(a+bcosx)) a gt b gt 0 and 0 lt x lt pi , then S.T f'(x)=(a+bcosx)^(-1) .

The number of solutions of sec x cos 5x + 1 = 0 in the interval [0,2pi] is

IF e^((cos ^2 x + cos ^4 + cos ^6 x+ . . . ) log 3) satissfies y^2 - 10 y+9=0 and (0 lt x lt pi //2 ) then cot ^2 x=

If f (x) = sin (2x ^(2) -2 [x]) for 0 lt x lt 1, then f ' ((sqrtpi)/(2))=

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 EQUATIONS -EXERCISE 1
  1. If cos 2theta + cos 8theta = cos 5theta then theta =

    Text Solution

    |

  2. If cos 6theta + cos 4theta + cos 2theta +1 =0 for 0 le theta le pi the...

    Text Solution

    |

  3. If sec x cos 5x + 1 =0, 0 lt x lt 2pi, then x =

    Text Solution

    |

  4. If cos theta cos 2 theta cos 3theta = 1//4 for 0 lt theta lt pi then t...

    Text Solution

    |

  5. If 4 sin x.sin 2x.sin 4x = sin 3x then theta =

    Text Solution

    |

  6. If 4 cos theta.cos(120^(@)+theta).cos(120^(@)-theta)=1//2 then theta =

    Text Solution

    |

  7. The sum of the solutions in (0, 2pi) of the equation cos x cos ((pi)/(...

    Text Solution

    |

  8. If sin theta.sin (60+theta)sin (60-theta)=1//4 then theta =

    Text Solution

    |

  9. If sin 3alpha = 4 sin alpha sin (x + alpha)sin(x-alpha), then x =

    Text Solution

    |

  10. If tan theta + tan(60^(@)+theta)+tan (120^(@)+theta)=3, then theta =

    Text Solution

    |

  11. If tan theta + tan 2theta + tan 3theta = 0 then theta =

    Text Solution

    |

  12. If tan theta + tan 2theta = tan 3theta, then theta =

    Text Solution

    |

  13. If tan theta + tan (pi//3+theta)-tan(pi//3-theta)=3 then theta =

    Text Solution

    |

  14. The solution of sin 2 theta + cos 2theta + sin theta + cos theta + 1 =...

    Text Solution

    |

  15. If cos 3x + cos 2x = sin (3x//2)+sin(x//2), 0 le x le 2pi, then x =

    Text Solution

    |

  16. The solution set of sin 2theta - cos 2theta - sin theta + cos theta = ...

    Text Solution

    |

  17. If sin x - 3 sin 2x + sin 3x = cos x - 3 cos 2x + cos 3x then x =

    Text Solution

    |

  18. If sin[(pi)/(4)cot theta]=cos[(pi)/(4)tan theta] then theta =

    Text Solution

    |

  19. If tan((pi)/(2) sin theta)=cot((pi)/(2)cos theta) then sin(theta +(pi)...

    Text Solution

    |

  20. If tan(picostheta)=cot(pisintheta), then prove that cos(theta-(pi)/(4...

    Text Solution

    |