Home
Class 12
MATHS
If tan theta + sin theta = 1, " then" c...

If ` tan theta + sin theta = 1, " then" cos^(2) theta = n " then" m^(2) -n^(2)` is equal

A

`m^(2) - n^(2) = 4mn`

B

`m^(2) + n^(2) = 4mn`

C

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

D

`m^(2) - n ^(2) = 4 sqrt((mn))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (3) (FILL IN THE BLANKS)|2 Videos
  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (4) ( MULTIPLE CHOICE QUESTIONS)|100 Videos
  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (2) TRUE AND FALSE|4 Videos
  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

If tan theta + sin theta = m , tan theta - sin theta = n then m^(2) -n^(2) is equal

If (tan theta + sin theta) =m and (tan theta - sin theta) = n , prove that (m^(2)-n^(2))^(2)=16mn.

If tan theta+sin theta=m and tan theta-sin theta=n then prove m^(2)-n^(2)=4sqrt(mn)

If tan theta+sin theta=m and tan theta-sin theta=n show that m^(2)-n^(2)=4sqrt(nm)

If tan theta+sin theta=m and tan theta-sin theta=n

If ((1 + cos theta + i sin theta ) /(i+ sin theta + i cos theta ))= cos ntheta + i sin n theta then n is equal to :

(sin theta+sin2 theta)/(1+cos theta+cos2 theta)=tan theta

(sin theta+sin2 theta)/(1+cos theta+cos2 theta)=tan theta

If sin theta=cos theta then 2tan theta+cos^(2)theta=

ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (3) ( MULTIPLE CHOICE QUESTIONS)
  1. The theta eliminate of the following equations is x = a cos ^(3) theta...

    Text Solution

    |

  2. If x sin^(3) alpha + y cos ^(3) alpha = sin alpha cos alpha and x sin...

    Text Solution

    |

  3. If tan theta + sin theta = 1, " then" cos^(2) theta = n " then" m^(2)...

    Text Solution

    |

  4. If cottheta+tantheta=xa n dsectheta-costheta=y , prove that (x^2y)^(2/...

    Text Solution

    |

  5. If cos e ctheta-sintheta=a^3,sectheta-costheta=b^3, Prove that : a^2b...

    Text Solution

    |

  6. If sin A + cos A = p, sin^(3) A + cos^(3) A=q, then

    Text Solution

    |

  7. If x=sectheta-tantheta, and y=cosectheta+cottheta, then

    Text Solution

    |

  8. If:x/a costheta+y/b s intheta=1a n dx/a s intheta-y/bcostheta=1, Prov...

    Text Solution

    |

  9. If x=a cos theta + b sin theta and y=a sin theta - b cos theta. then ...

    Text Solution

    |

  10. If p sec theta - b tan theta =a and q sec theta +a tan theta =b, then

    Text Solution

    |

  11. If a+b tan theta = sec theta and b - a tan theta = 3 sec theta, then ...

    Text Solution

    |

  12. For 0 lt phi le ( pi )/( 2), if x = sum(n=0)^(oo) cos^(2n) phi , y = s...

    Text Solution

    |

  13. If tan x = ( 2b )/( a-c) , ( a cancel(=)c) y = a cos ^(2) x + 2b sin...

    Text Solution

    |

  14. If sin x + cos x = sqrt( 2) cos x , then cos x - sin x is equal to

    Text Solution

    |

  15. If theta is an acute angle and sin"" ( theta )/( 2) = sqrt((x-1)/( 2x)...

    Text Solution

    |

  16. If a cos theta - b sin theta =c, " then" a sin theta + b cos theta is...

    Text Solution

    |

  17. If sin A + sin 2A =x and cos A + cos 2A = y, then ( x^(2) + y^(2) ) ( ...

    Text Solution

    |

  18. It is given that cos(theta-alpha)=a, cos(theta-beta)=b What is...

    Text Solution

    |

  19. If a sin^(2)x+b cos^(2)x=c, b sin^(2)y+a cos^(2)y=d and atan x=btany t...

    Text Solution

    |

  20. If (sin^4x)/2+(cos^4x)/3=1/5t h e n tan^2x=2/3 (b) (sin^8x)/8+(cos^...

    Text Solution

    |