Home
Class 12
MATHS
If sintheta1+sintheta2+sintheta3=3," the...

If `sintheta_1+sintheta_2+sintheta_3=3," then "costheta_1+costheta_2+costheta_3` is equal to

A

3

B

2

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
The given relation is satisfied only when
`sintheta_1=sintheta_2=sintheta_3=1`
`rArrcostheta_1=costheta_2=costheta_3=0`
`rArrcostheta_1+costheta_2+costheta_3=0`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|17 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Linked Comprehension Type|11 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Concept Application Exercises 2.14|1 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE ENGLISH|Exercise Archives (Matrix Match Type)|1 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Matrix Match Type|1 Videos

Similar Questions

Explore conceptually related problems

If sintheta=a/b , then costheta is equal to

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

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

If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1+sintheta) is equal to 1+x (b) 1-x (c) x (d) 1/x

If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1+sintheta) is equal to 1+x (b) 1-x (c) x (d) 1/x

If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1+sintheta) is equal to (a) 1+x (b) 1-x (c) x (d) 1/x

If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1+sintheta) is equal to (a) 1+x (b) 1-x (c) x (d) 1/x

((1+sintheta+i costheta)/(1+sintheta-i costheta))^n is equal to

If (acostheta_1,asintheta_1),(acostheta_2,asintheta_2) and (acostheta_3,asintheta_3) represent the vertices of an equilateral triangle inscribed in a circle, then (a) costheta_1+costheta_2+costheta_3=0 (b) sintheta_1+sintheta_2+sintheta_3=0 (c) tantheta_1+tantheta_2+tantheta_3=0 (d) cottheta_1+cottheta_2+cottheta_3=0

If 3sintheta+5costheta=5, then show that 5sintheta-3costheta=+-3.

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS -Exercises
  1. If sin^2theta=(x^2+y^2=1)/(2x) , then x must be -3 (b) -2 (c) 1 (d)...

    Text Solution

    |

  2. If s e c^2theta=(4x y)/((x+y)^2) is true if and only if (a)x+y!=0 (b)...

    Text Solution

    |

  3. If sintheta1+sintheta2+sintheta3=3," then "costheta1+costheta2+costhet...

    Text Solution

    |

  4. If sinx+siny+sinz+sinw=-4" then the value of "sin^400x+sin^300y+sin^20...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. If 1+sinx+sin^2x+sin^3x+oo is equal to 4+2sqrt(3),0<x<pi, then x is eq...

    Text Solution

    |

  7. The value of expression (2sin^2 91^0-1)(2sin^2 92^0-1)...(2sin^2 180^0...

    Text Solution

    |

  8. If sinA=sin^2B and 2cos^2A=3cos^2B then the triangle ABC is

    Text Solution

    |

  9. If sintheta+costheta=1/5and 0lethetaltpi" then "tantheta is

    Text Solution

    |

  10. If piltalphalt(3pi)/2lt" then "sqrt((1-cosalpha)/(1+cosalpha))+sqrt((1...

    Text Solution

    |

  11. If 0 < alpha < pi/ 6 then alpha(cosec alpha) is

    Text Solution

    |

  12. The least value of 2sin^2theta+3cos^2theta is 1 (b) 2 (c) 3 (d) ...

    Text Solution

    |

  13. The greatest value of sin^4theta+cos^4theta is

    Text Solution

    |

  14. If f(x)=sin^6x+cos^6x , then range of f(x) is [1/4,1] (b) [1/4,3/4] ...

    Text Solution

    |

  15. The minimum value of atan^2x+bcot^2x equals the maximum value of asin^...

    Text Solution

    |

  16. Range of f(theta)=cos^2theta(cos^2theta+1)+2sin^2theta is [3/4,1] (b)...

    Text Solution

    |

  17. If 0<theta<pi, then minimum value of 3sintheta+cos e c^3theta is 4 (b)...

    Text Solution

    |

  18. If thetaigt0" for "1lethetalenandtheta1+theta2+theta3+...+thetan=pithe...

    Text Solution

    |

  19. The set of values of lambda in R such that sin^2theta+costheta=lambda...

    Text Solution

    |

  20. Let A=sin^8theta+cos^14theta, " then "A("max") is

    Text Solution

    |