Home
Class 12
MATHS
If costheta =(cosalphacosbeta)/(1+sin al...

If cos`theta =(cosalphacosbeta)/(1+sin alpha sin beta)`, show that , `sin theta=pm(sinalpha+sinbeta)/(1+sinalphasinbeta)`.

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 tantheta=(tanalpha+tanbeta)/(1+tanalphatanbeta) ,then show that sin2theta=(sin2alpha+sin2beta)/(1+sin2alphasin2beta)

If tan theta = ( tan alpha - tan beta)/(1-tan alpha tan beta),"show that", sin 2 theta=(sin 2 alpha- sin 2 beta)/(1- sin2 alpha sin 2 beta).

If tan theta = ( tan alpha + tan beta)/(1 + tan alpha tan beta),"show that " sin 2 theta =(sin 2 alpha + sin 2 beta)/(1+sin 2 alpha sin 2 beta)

Evaluate {:|( cos alpha cos beta , cos alpha sin beta , -sin alpha ),( -sin beta , cos beta, 0),( sin alpha cos beta, sin alpha sin beta, cos alpha ) |:} =0

Evaluate |(cosalphacosbeta,cosalpha sinbeta , - sin alpha),(-sin beta,cosbeta,0),(sinalphacosbeta,sinalpha sinbeta,cosalpha)|

Under rotation of axes through theta , x cosalpha + ysinalpha=P changes to Xcos beta + Y sin beta=P then . (a) cos beta = cos (alpha - theta) (b) cos alpha= cos( beta - theta) (c) sin beta = sin (alpha - theta) (d) sin alpha = sin ( beta - theta)

If " "cos alpha+cosbeta=1/3 " and " sinalpha+sin beta=1/4, "show that" " tan"(alpha+beta)/2=3/4

|{:(cosalpha cos beta,cos alpha sin beta ,-sin alpha),(-sin beta,cos beta," "0),(sin alpha cosbeta ,sinalpha sin beta ,""cos alpha):}|

If tan beta = (n sin alpha cos alpha)/(1-n sin^(2) alpha), "show that", tan (alpha - beta) = (1 - n) tan alpha.

If tan theta = (x sin alpha + y sin beta)/(x cos alpha + y cos beta), "prove that " x sin (theta - alpha) + y sin (theta - beta) = 0

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

    |