Home
Class 10
MATHS
If sin theta + costheta = m and sin the...

If `sin theta + costheta = m ` and `sin theta - cos theta = n ` , then

A

`m^(2) + n^(2) = 1`

B

`m^(2) - n^(2) = 1`

C

`m^(2) + n^(2) = 2 `

D

`m^(2) - n^(2) = 2 `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    TARGET PUBLICATION|Exercise Additional Problems for Practice (Based on practice Set 6.1)|26 Videos
  • TRIGONOMETRY

    TARGET PUBLICATION|Exercise Based on Practice Set 6.2|13 Videos
  • TRIGONOMETRY

    TARGET PUBLICATION|Exercise Activities for practice|3 Videos
  • STATISTICS

    TARGET PUBLICATION|Exercise Problem Set-6|5 Videos

Similar Questions

Explore conceptually related problems

If a cos theat + b sin theta = m and a sin theta- b cos theta = n, then prove that a^2 + b^2 = m^2 + n^2

sin theta/(1+cos theta)=

If "cosec " theta - sin theta = m, sec theta - cos theta =n , " then "(m^(2)n)^(2//3) + (mn^(2))^(2//3) =.................. A) 1 B) 2 C) 1/2 D) 0

If tan theta + sin theta = m, then tan theta - sin theta = n then ..............

If sin theta + cos theta =1 then sin theta cos theta = ......... A) 0 B) 1 C) 2 D) 1/2

If x=a cos theta + b sin theta and y=a sin theta - b cos theta. then a ^(2) +b^(2) is equal to

If x= e^(theta )(sin theta - cos theta ) , y= e^(theta ) ( sin theta + cos theta ) then (dy)/(dx) at theta =(pi)/(4) is

TARGET PUBLICATION-TRIGONOMETRY -Multiple Choice Questions
  1. (1 - cot^(2)45^(@))/(1 + cot^(2)45^(@)) =

    Text Solution

    |

  2. 1+cot^(2)theta= ……

    Text Solution

    |

  3. tan^(2)(90^(@) - theta) - cosec^(2) theta =

    Text Solution

    |

  4. If cos theta = (24)/(25), then the value of sin theta is

    Text Solution

    |

  5. If tantheta=3/4 , then cos^2theta-sin^2theta= 7/(25) (b) 1 (c) -7/(25...

    Text Solution

    |

  6. If cot theta = (3)/(4) , then (sin theta - cos theta)/(sin theta + cos...

    Text Solution

    |

  7. Find the value of (1+tan^(2)theta)/(1+cot^(2)theta)

    Text Solution

    |

  8. (1 - cos^(2)theta)cot^(2)theta

    Text Solution

    |

  9. (Sec^2 θ − 1) (Cosec^2 θ − 1) =

    Text Solution

    |

  10. Write the value of "cosec"^(2)theta(1+costheta)(1-costheta).

    Text Solution

    |

  11. (5)/(cot^(2)theta) - (5)/(cos^(2) theta)=

    Text Solution

    |

  12. sin theta/(1+cos theta)=

    Text Solution

    |

  13. If cosec theta - cottheta = (1)/(3) , then cosec theta + cot theta =

    Text Solution

    |

  14. If sin theta + sin^(2) theta=1 " then " cos^(2) theta+ cos^(4) theta...

    Text Solution

    |

  15. If sin theta + costheta = m and sin theta - cos theta = n , then

    Text Solution

    |

  16. When we see below the horizontal line , then the angle formed is …………....

    Text Solution

    |

  17. If a pole 12 m high casts a shadow 4sqrt(3) m long on the ground then...

    Text Solution

    |

  18. A kite is flying at a height 80 m above the ground . The string of th...

    Text Solution

    |

  19. The angle of elevation of top of the tower from a point P on the groun...

    Text Solution

    |

  20. The angle of depression of a ship as observed from the top of a lighth...

    Text Solution

    |