Home
Class 12
MATHS
If (cos^4x)/(cos^2y)+(sin^4x)/(sin^2y)=1...

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

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

It (cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1 then show that (cos^4B)/(cos^2A)+(sin^4B)/(sin^2A)=1

If cos^4x/cos^2y+sin^4x/sin^2y=1 ,show that cos^4y/cos^2x+sin^4y/sin^2x=1

Show that 3(sin^4x+cos^4x)-2(sin^6x+cos^6x)=1 .

(dy)/(dx)=(cos^(4)y)/(sin^(4)x+cos^(4)x)

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

If y=(sin^(-1)x)^(2)+(cos^(-1)x)^(2) , then show that, (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=4

Let y=(sin^-1x)^2+(cos^-1x)^2 , show that, (1-x^2)(d^2y)/(dx^2)-xdy/dx=4

cos ^(2) 2x -cos ^(2) 6x = sin 4x sin 8x

tan (sin ^(-1)x+sin ^(-1) y) +tan (cos^(-1)x+cos ^(-1)y)

Solve : ("sin" (x)/(2) "cos" (x)/(2))/(1-8 "sin"^(2)(x)/(2) "cos"^(2)(x)/(2))+(cos x(4 cos^(2)x-3))/(2 sin 4x)=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

    |