Home
Class 12
MATHS
If a=x cos^(2) alpha + ysin^(2) alpha "...

If ` a=x cos^(2) alpha + ysin^(2) alpha " then " (x-a)(y-a)+(x-y)^(2)sin^(2) alpha cos^(2) alpha = `

A

0

B

1

C

`-1`

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 B ( COMPOUNDS ANGLES )|106 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )|118 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPEICAL TYPE QUESTIONS ) SET -4|20 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

( cos 2 alpha)/( cos^(4) alpha - sin^(4) alpha ) -(cos^(4) alpha + sin^(4) alpha )/(2-sin^(2) 2alpha ) =

(sin^(2)alpha)/(1+cot^(2) alpha) + (tan^(2)alpha)/((1+tan^(2) alpha)^(2)) + cos^(2) alpha =

sin 2 alpha - cos 2 alpha tan alpha =

If (sin alpha + "cosec" alpha )^(2) + ( cos alpha + sec alpha )^(2)=k+ tan^(2) alpha + cot^(2) alpha then k=

Show that cos ^(4) alpha + 2 cos ^(2) alpha (1-(1)/(sec ^(2) alpha ))=(1- sin ^(4) alpha )

I : If (cos alpha )/(a)=(sin alpha )/(b) then a cos 2 alpha + b cos 2 alpha =a II : If (sin alpha )/(a) =(cos alpha )/(b) then a sin 2 alpha + b cos 2 alpha = a

If x=cos alpha+i sin alpha,y=cos beta+isinbeta, then (x-y)/(x+y)=

cos^(4)alpha+sin^(4)alpha-6sin^(2)alpha cos^(2)alpha=

sin^(2) alpha * tan alpha + cos^(2) alpha * cot alpha + 2 sin alpha cos alpha =

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)
  1. sqrt((1+sinA)/(1-sin A ))=

    Text Solution

    |

  2. If sqrt((1+ cos theta )/(1- cos theta ))="cosec " theta + cot theta " ...

    Text Solution

    |

  3. If x=a cos^(3) theta , y= a sin^(3) theta then

    Text Solution

    |

  4. If x= a cos^(4) theta, y=bsin^(4) theta , then sqrt(x//a) + sqrt(y//...

    Text Solution

    |

  5. If x cos theta + y sin theta = a , x sin theta - y cos theta = b the...

    Text Solution

    |

  6. If sin theta + cos theta = m and sec theta + " cosec " theta = n the...

    Text Solution

    |

  7. If (x)/(a) cos theta + (y)/(b) sin theta = 1 , (x)/(a) sin theta - (y...

    Text Solution

    |

  8. If x=a("cosec" theta + cot theta ) , y=b( " cosec " theta - cot theta ...

    Text Solution

    |

  9. If x sec theta + y tan theta = a, x tan theta + y sec theta = b " the...

    Text Solution

    |

  10. By eleminating theta from the equation a1 "cosec " theta + b1 cot th...

    Text Solution

    |

  11. If x= a ( sec theta + tan theta )^2 , y=b(sec theta - tan theta )^2 "...

    Text Solution

    |

  12. If tan theta + sin theta = m, tan theta - sin theta = n " then " (m^(...

    Text Solution

    |

  13. If x= cot theta + cos theta , y= cot theta - cos theta , " then " (x^...

    Text Solution

    |

  14. If cot theta + tan theta = m , sec theta - cos theta = n " then " (m^...

    Text Solution

    |

  15. If "cosec " theta - sin theta = m, sec theta - cos theta =n , " then ...

    Text Solution

    |

  16. If a=x cos^(2) alpha + ysin^(2) alpha " then " (x-a)(y-a)+(x-y)^(2)si...

    Text Solution

    |

  17. If x= a cos^(2) theta sin theta and y= a sin^(2) theta cos theta , "...

    Text Solution

    |

  18. If x=r cos theta cos phi , y=r cos theta sin phi and z=r sin theta , ...

    Text Solution

    |

  19. If x=r cos alpha cos beta cos gamma , y= cos alpha cos beta sin gamma...

    Text Solution

    |

  20. Let fk(x)=(1)/(k)(sin^k x+ cos^k x) " where " x in R and k ge 1 . Then...

    Text Solution

    |