Home
Class 12
MATHS
"If " (tan x)/(tan y) = (1 + cos^(2) x)/...

`"If " (tan x)/(tan y) = (1 + cos^(2) x)/(1 + sin^(2) x ) " show that "sin ( 3x + y) =7sin (x-y).`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Multiple Correct Answere Type|5 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Integer Answer Type|5 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Short Answer Type Questions|35 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

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

Similar Questions

Explore conceptually related problems

If tan 3x.tan 3y = 1, then sin(x+y)=?

If y= tan^(-1)((a cos x-b sin x)/(b cos x+a sin x))" show that, " (dy)/(dx)= -1 .

(sin x - sin y)/( cos x + cos y) = tan ""(x-y)/(2)

If y= 3 cos (log x)+4 sin(log x) , show that x^(2)y_(2)+xy_(1)+y=0 .

If y = (Sin ^-1 x)^2 + (cos^-1 x)^2 , then show that (1-x^2) y _2 - xy_1 = 4

(cos x- cos y) ^(2) + (sin x - sin y) ^(2) =4 sin ^(2) "" ( x-y)/(2)

If 3^(sin 2x + 2 cos^2 x) + 3^( 1 - sin 2x + 2 sin^2 x) = 28 , then tan x is

If sin x - sin y = a " and "cos x + cos y = b,"show that " "tan" (x+y)/2 = pm sqrt((4-a^(2)-b^(2))/(a^(2)+b^(2)))

(cos x + cos y ) ^(2) + (sin x - sin y ) ^(2) = 4 cos ^(2) ""(x + y )/( 2)

If (cos^2 x + 1/(cos^2 x)) (1 + tan^2 2y)(3 + sin 3z) = 4 ,then

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES-Long Answer Type Questions
  1. If" " n tan alpha = (n+1) tan beta " then show that", tan (alpha - bet...

    Text Solution

    |

  2. If tan theta = cos2 alpha tan phi, prove that tan (phi - theta) = (ta...

    Text Solution

    |

  3. If tan theta = sec 2 alpha, "show that", sin 2 theta = (1-tan^(4) alph...

    Text Solution

    |

  4. Prove that,8 cos^(4) theta = 3 + 4 cos 2 theta + cos 4 theta

    Text Solution

    |

  5. Prove that,8 sin^(4) theta = 3 - 4 cos 2 theta + cos 4 theta

    Text Solution

    |

  6. Prove that,64cos^(3) theta sin^(4) theta = cos 7 theta - cos 5 theta -...

    Text Solution

    |

  7. Prove that,sin^(2)A cos^(4) A = 1/16 + 1/32 cos2A - 1/16 cos 4 A - 1/3...

    Text Solution

    |

  8. If tan theta = ( tan alpha - tan beta)/(1-tan alpha tan beta),"show th...

    Text Solution

    |

  9. If " "alpha " and " beta " are positive acute angles and " cos 2 alpha...

    Text Solution

    |

  10. "If " (tan x)/(tan y) = (1 + cos^(2) x)/(1 + sin^(2) x ) " show that "...

    Text Solution

    |

  11. If sin theta + sin 2 theta = a " and " cos theta + cos 2 theta = b, "...

    Text Solution

    |

  12. If theta = pi/(2^(n) + 1), "show that",2^(n) cos theta cos 2 theta cos...

    Text Solution

    |

  13. Prove that, (2 cos theta - 1)(2 cos 2 theta-1)(2 cos2^(2) theta-1)...(...

    Text Solution

    |

  14. If x-1/x = 2i sin theta, "show that", x^(4)-1/x^(4)=2i sin 4 theta.

    Text Solution

    |

  15. Show that,(x tan alpha + y cot alpha)( x cot alpha + y tan alpha) = (x...

    Text Solution

    |

  16. If u = (1 + cos theta) (1+ cos2 theta) - sin theta sin 2theta, v = s...

    Text Solution

    |

  17. Eliminate theta : x = a ( cos theta + cos 2 theta), y = b ( sin theta ...

    Text Solution

    |

  18. "If " a sin theta + b cos theta = c " and " a cosec theta + b sec thet...

    Text Solution

    |

  19. "If "0ltalphaltpi/2 " and " sin alpha + cos alpha + tan alpha + cot a...

    Text Solution

    |

  20. If sin (x + y) = p/sqrt(1 + p^(2)) " and " cos (x - y) = 1/sqrt(1 + q^...

    Text Solution

    |