Home
Class 12
MATHS
If tan theta+sin theta=m and tan theta-s...

If `tan theta+sin theta=m and tan theta-sin theta=n`, prove that, `mn=tan^2sin^2theta and m^2-n^2=4sqrt(mn)(mgtn)`.

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|1 Videos

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Multiple Answers Type)|4 Videos

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type )|2 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • VECTOR

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION|18 Videos

Similar Questions

Explore conceptually related problems

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

If tan 2theta . Tan 3 theta =1 , then sin5theta =

If cos^2theta-sin^2 theta = 1/2 . Then tan theta =

sin^(3)theta = tan2theta + tantheta

If tan(theta+15^@)= sqrt3 then sin theta+ cos theta =?

If tan theta=-4/3 ,then the value of sin theta is

If "cosec" theta- sin theta=m^(3) and sec theta-cos theta=n^(3) , then prove that m^(2)n^(2)(m^(2)+n^(2))=1.

If sin theta = nsin(theta +2alpha) then tan(theta + alpha) =

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES-EXERCISE 2
  1. Eliminate theta in each of the following : sintheta -cos theta=a, ...

    Text Solution

    |

  2. If 7sin ^2theta +3cos^2theta =4, prove that, tan theta =pm1/sqrt(3) .

    Text Solution

    |

  3. Find the minimum value of cos^4 theta+sin^2 theta.

    Text Solution

    |

  4. If p tan theta=tan p theta , show that, (sin^2p theta)/(sin^2theta)=(p...

    Text Solution

    |

  5. If (1+sin alpha)(1+sinbeta)(1+singamma)=(1-sinalpha)(1-sinbeta)(1-sing...

    Text Solution

    |

  6. If (cosecalpha-1)(cosecbeta-1)(cosecgamma-1)=(cosecalpha+1)(cosecbeta+...

    Text Solution

    |

  7. Eliminate theta each of the following : l1cos theta+m1sin theta+n1=0...

    Text Solution

    |

  8. Eliminate theta each of the following : asec theta +btan theta+c=0,...

    Text Solution

    |

  9. Eliminate theta each of the following : cos^3 theta +3costhetasin^2...

    Text Solution

    |

  10. If tan theta+sin theta=m and tan theta-sin theta=n, prove that, mn=tan...

    Text Solution

    |

  11. If "cosec" theta- sin theta=m^(3) and sec theta-cos theta=n^(3), then ...

    Text Solution

    |

  12. If (sin^4theta)/x+(cos^4theta)/y=1/(x+y), show that ,(sin^(2m+2)theta)...

    Text Solution

    |

  13. If cosec alpha+cot alpha=2+sqrt(5) , show that, cosalpha=2/sqrt(5).

    Text Solution

    |

  14. Prove that cos^2A-sin^2A = (1-tan^2A)/(1+tan^2A).

    Text Solution

    |

  15. If a sin x =bcos x=(2ctanx)/(1-tan^2x), prove that, (a^2-b^2)^2=4c^2(a...

    Text Solution

    |

  16. If costheta =(cosalphacosbeta)/(1+sin alpha sin beta), show that , sin...

    Text Solution

    |

  17. If (cos^4x)/(cos^2y)+(sin^4x)/(sin^2y)=1,"show taht", (cos^4y)/(cos^2x...

    Text Solution

    |

  18. If cosec x =cosec y cosec z+cot y cot z, prove that cosec y=cosec z co...

    Text Solution

    |

  19. If (xcos theta)/a+(ysin theta)/b=1 and (ax)/(cos theta)-(by)/(sin thet...

    Text Solution

    |

  20. Find the principal value of tan^-1(-1/sqrt3)

    Text Solution

    |