Home
Class 12
MATHS
If tan alpha = (x sin beta)/(1-x cos bet...

`If tan alpha = (x sin beta)/(1-x cos beta) " and " tan beta = (y sin alpha)/(1-y cos alpha),"show that", (sin alpha)/(sin beta) = x/y`.

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|12 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Multiple Correct Answers Type|5 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Very Short Answer type Questions|23 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED 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

Similar Questions

Explore conceptually related problems

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

If alpha ne beta " and " a tan alpha + b tan beta = (a + b) "tan" (alpha + beta)/2,"show that" (cos alpha)/(cos beta) = a/b.

If tan ( alpha-beta) = (sin 2 beta)/(5-cos 2 beta),"find the value of " tan alpha : tan beta.

sin alpha + sin beta = a "and" cos alpha + cos beta = b sin (alpha + beta) =

If sin alpha = sin beta and cos alpha = cos beta then-

If tanbeta =(sin alpha cos alpha)/(2 + cos^(2) alpha),"prove that " 3 tan (alpha -beta).=2 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

If sin 2 alpha = 4 sin 2 beta, "show that", 5tan ( alpha -beta) = 3 tan ( alpha +beta)

If" " 2 tan alpha = 3 tan beta, " show that",tan ( alpha - beta) = (sin 2 beta)/(5- cos 2 beta).

"If " sin2 alpha = A sin 2(alpha + beta), A ne 0, "then "tan 2 beta=

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-Short Answer Type Questions
  1. Simplify: tan(pi/4 + theta) tan ((3pi)/4 + theta)

    Text Solution

    |

  2. Simplify: sin (B + C) sin (B - C) + sin (C + A) sin (C - A) + sin(A ...

    Text Solution

    |

  3. Find the expansion: sin (A - B + C)

    Text Solution

    |

  4. Find the expansion: tan (A + B - C)

    Text Solution

    |

  5. If sin alpha sin beta - cos alpha cos beta + 1 = 0,"show that", sin (a...

    Text Solution

    |

  6. If A + B = 45^(@), "show that",(1 + tan A) (1 + tan B) = 2 , "hence fi...

    Text Solution

    |

  7. If A + B + C = pi " and " cos A = cos B cos C, "show that" tan A = t...

    Text Solution

    |

  8. If A + B + C = pi " and " cos A = cos B cos C, "show that" 2 cot B c...

    Text Solution

    |

  9. An angle theta is divided into two parts alpha " and " beta such that ...

    Text Solution

    |

  10. If tan theta = (Q sin alpha)/(P + Q cos alpha), "prove that", tan (alp...

    Text Solution

    |

  11. If sin (alpha + beta) = n sin (alpha - beta) " and " n ne -1," prove t...

    Text Solution

    |

  12. If cot alpha cot beta = 3,"show that", (cos (alpha - beta))/(cos (alph...

    Text Solution

    |

  13. Find the value of (sin (alpha + beta))/(sin (alpha - beta)), "given th...

    Text Solution

    |

  14. If 0^(@) < theta < 90^(@) "and" cos theta + sin theta = sqrt2,"find th...

    Text Solution

    |

  15. If tan alpha = (x sin beta)/(1-x cos beta) " and " tan beta = (y sin a...

    Text Solution

    |

  16. If tan theta + tan phi = x "and" cot theta + cot phi = y, "prove that ...

    Text Solution

    |

  17. If tan theta = (2x - K)/(K sqrt3) " and " tan varphi = (xsqrt3)/(2 K-x...

    Text Solution

    |

  18. If cos (theta - alpha) = p " and " sin(theta + beta) = q," show that "...

    Text Solution

    |

  19. Eliminate theta " and " phi sin theta + sin phi = a, cos theta + co...

    Text Solution

    |

  20. Eliminate theta " and " phi tan theta + tan phi = x, cot theta + co...

    Text Solution

    |