Home
Class 10
MATHS
Prove that 2 (sin^(6)theta +cos^(6) th...

Prove that
`2 (sin^(6)theta +cos^(6) theta ) - 3(sin^(4)theta +cos^(4) theta ) + 1 = 0`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Test Your Skills|41 Videos

  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Practice Thoroughly|19 Videos

  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions|24 Videos

  • COORDINATE GEOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions (True or false)|5 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise Test Your Skills|48 Videos

Similar Questions

Explore conceptually related problems

sin^(4) theta + cos ^(4) theta + 2sin^(2) theta cos ^(2) theta has value 1.

2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta) is equal to

Find the value of 6(sin^6theta+cos^6theta)-9(sin^4theta+cos^4theta)+4

Evaluate : 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)+4(sin^(2)theta+cos^(2)theta)

If sintheta + sin^(2)theta = 1 , prove that cos^(2)theta + cos^(4)theta = 1

Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

If sin^(100) theta - cos^(100) theta =1 , then theta is

Prove : (2 sin theta cos theta-cos theta)/(1-sin theta+sin^(2) theta-cos^(2) theta)=cot theta

If 0 lt theta lt (pi)/2 and 5 tan theta = 4 then (5 sin theta - 3 cos theta) / (sintheta +2 cos theta ) = 5/14

KUMAR PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Other Important Examples
  1. Evaluate each of the following : 3cos^(2)30^(@)+sec^(2)30^(@)+2cos0^...

    Text Solution

    |

  2. Show that 2(cos^(4)60^(@)+sin^(4)30^(@))-(tan^(2)60^(@)+cot^(2)45^(@...

    Text Solution

    |

  3. Find the value of x in the following equation sin 2x = sin 60° cos 30°...

    Text Solution

    |

  4. If theta is an acute angle and tan theta + cot theta = 2 , find the va...

    Text Solution

    |

  5. Given that sin (A+ B) = sin A cos B + cos A sin B , find the value o...

    Text Solution

    |

  6. Prove that : (cos80^(@))/(sin10^(@))+cos59^(@)cosec31^(@)=2

    Text Solution

    |

  7. Evaluate the following : (2tan53^(@))/(cot37^(@))-(cot80^(@))/(tan10...

    Text Solution

    |

  8. Express sin 72° + cot 72° in terms trigonometric ratios of angles betw...

    Text Solution

    |

  9. Evaluate: ((sin47^(@))/(cos43^(@)))^(2)+((cos43^(@))/(sin47^(@)))^(2)-...

    Text Solution

    |

  10. If sec 5A = cosec (A + 36°) , where 5A is an acute angle, find the va...

    Text Solution

    |

  11. Prove the following : (All angles are acute angles.) sqrt(sec^(2)the...

    Text Solution

    |

  12. Prove the following : (All angles are acute angles.) (1+tan^(2)theta...

    Text Solution

    |

  13. Prove the following : (All angles are acute angles.) (tantheta+sinth...

    Text Solution

    |

  14. Prove the following : (All angles are acute angles.) (sintheta+costh...

    Text Solution

    |

  15. Prove the following : (All angles are acute angles.) tantheta-cotthe...

    Text Solution

    |

  16. If sintheta + sin^(2)theta = 1 , prove that cos^(2)theta + cos^(4)thet...

    Text Solution

    |

  17. If cos theta + sin theta = p and sec theta + cosec theta = q , prove t...

    Text Solution

    |

  18. If costheta + sin theta = sqrt2 cos theta, prove that cos theta - sin ...

    Text Solution

    |

  19. Prove that 2 (sin^(6)theta +cos^(6) theta ) - 3(sin^(4)theta +cos^(4...

    Text Solution

    |

  20. If x sin^(3)theta + y cos^(3)theta = sintheta costheta and x sin theta...

    Text Solution

    |