Home
Class 12
MATHS
The solution of sin 2 theta + cos 2theta...

The solution of `sin 2 theta + cos 2theta + sin theta + cos theta + 1 =0` in the first quadrant is

A

`2n pi+(2pi)/(3) : n in Z` or `(2n-1)pi + (pi)/(6) : n in Z`

B

`(2n +1)(pi)/(2) : n in Z` or `n pi - (pi)/(4) : n in Z`

C

`2n pi + (pi)/(2) : n in Z`

D

No solution

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

The solution set of sin 2theta - cos 2theta - sin theta + cos theta = 0 is

If sin 2 theta+cos theta =0 then theta=

(sin 2 theta)/( 1+ cos 2 theta ) =

((1+ sin theta - cos theta )/( 1+ sin theta + cos theta ))^(2)=

If 2-cos^(2)theta = 3 sin theta cos theta then theta =

If cos theta + sin theta =a , " then " sin 2 theta =

( cos 3 theta - sin 3 theta )/( cos theta+ sin theta ) =

( sin 4 theta - sin 2 theta )/(cos 4 theta + cos 2 theta )=

If 0 lt theta lt pi/2 , the solution of the equation sin theta - 3 sin 2 theta + sin 3 theta = cos theta - 3 cos 2 theta + cos 3 theta is

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. If tan theta + tan 2theta = tan 3theta, then theta =

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If tan(cot x) = cot (tan x), then sin 2x =

    Text Solution

    |

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

    Text Solution

    |

  12. The expression (1+tan x +tan^(2)x)(1- cot x + cot^(2)x) has the positi...

    Text Solution

    |

  13. The solutions of the system of equations x+y=2pi//3 and cos x + cos y ...

    Text Solution

    |

  14. If x + y = 2pi//3 and cos x + cos y = sqrt(3)//2, then x, y =

    Text Solution

    |

  15. The smallest positive real value of p for which the equation cos (p si...

    Text Solution

    |

  16. The smallest positive values of x and y which satisfy tan (x-y)=1, sec...

    Text Solution

    |

  17. The solution of (81)^(sin^(2)x) +(81)^(cos^(2)x)=30 in [0, pi//2] is

    Text Solution

    |

  18. The general solution x for the equation 9^(cos x)-2.3^(cos x)+1=0 is

    Text Solution

    |

  19. The equation e^(sin x)-e^(-sin x)-4=0 has

    Text Solution

    |

  20. The equation sin^(4)x -2cos^(2)x + a^(2)=0 is solvable if

    Text Solution

    |