Home
Class 11
MATHS
cos^(2)theta+cos^(2)(60^(@)+theta)+cos^(...

`cos^(2)theta+cos^(2)(60^(@)+theta)+cos^(2)(60^(@)-theta)=3/2`

Text Solution

Verified by Experts

The correct Answer is:
`=3/2=RHS`
NA
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    SUBHASH PUBLICATION|Exercise Alternate Methods|12 Videos

  • SUPER MODEL QUESTION PAPER-3

    SUBHASH PUBLICATION|Exercise Point E|4 Videos

Similar Questions

Explore conceptually related problems

Solve the equation for theta : (cos^(2) theta)/(cot^(2) theta - cos^(2) theta)=3 .

sin ^(6) theta+cos ^(6) theta+3 sin ^(2) theta . cos ^(2) theta=

If sin theta+sin ^(2) theta=1 then cos ^(12) theta+3 cos ^(10) theta+3 cos ^(8) theta+cos ^(6) theta=

cos^(2)theta+sin^(2)theta is:

If sin theta+sin ^(2) theta+sin ^(3) theta=1 then cos ^(6) theta-4 cos ^(4) theta+8 cos ^(2) theta=

Solve 7 cos^(2) theta+3 sin^(2) theta=4 .

If f(x)=|{:( sin^2 theta , cos^(2) theta , x),(cos^(2) theta , x , sin^(2) theta ),( x , sin^(2) theta , cos^2 theta ):}| theta in (0,pi//2), then roots of f(x)=0 are

If |(1+sin^(2)theta, cos^(2)theta, 4 sin 2 theta),(sin^(2) theta, 1+cos^(2)theta, 4sin2 theta),(sin^(2)theta, cos^(2)theta, 4 sin 2 theta-1)|=0 and 0 lt theta lt (pi)/2 then cos 4 theta=

If |{:(1+cos^(2)theta,sin^(2)theta,4cos6theta),(cos^(2)theta,1+sin^(2)theta,4cos6theta),(cos^(2)theta,sin^(2)theta,1+4cos6theta):}|=0 , and theta in (0,(pi)/(3)) , then value of theta is

Prove that (1+ cot theta + tan theta ) ( sin theta - cos theta) = (sec theta )/(cosec^(2) theta) - (cosec theta)/(sec^(2)theta) .

SUBHASH PUBLICATION-TRIGONOMETRY-Prove the following
  1. (cos 75^(@)+cos15^(@))/(sin75^(@)-sin 15^(@))=sqrt(3)

    Text Solution

    |

  2. (sin6A+sin2A+2sin4A)/(sin7A+sin3A+2sin5A)=(sin4A)/(sin5A)

    Text Solution

    |

  3. Prove that : cosA+cos(120^(@)-A)+cos(120^(@)+A)=0

    Text Solution

    |

  4. cos^(2)theta+cos^(2)(60^(@)+theta)+cos^(2)(60^(@)-theta)=3/2

    Text Solution

    |

  5. Show that:4sinA.sin(60^(@)+A)sin(60^(@)-A)=sin3A

    Text Solution

    |

  6. If A+B+C=pi, Prove that tanA+tanB+tanC=tanA.tanB.tanC

    Text Solution

    |

  7. cos20^(@).cos40^(@).cos60^(@).cos80^(@)=1/16

    Text Solution

    |

  8. If A+B+C=pi prove that "tan"A/2"tan"B/2+"tan"B/2"tan"C/2+"tan"C/2"tan"...

    Text Solution

    |

  9. If A+B+C=pi, prove that sin 2A+sin 2B+sin 2C=4 sinA sin B sinC.

    Text Solution

    |

  10. Prove that: sinA+sinB+sinC=4cos(A/2)cos(B/2)cos(C/2) if A + B +C =180 ...

    Text Solution

    |

  11. cos^(2)A+cos^(2)B-cos^(2)C=1-2sinA sinB cosC

    Text Solution

    |

  12. In DeltaABC, prove that (sin(B-C))/(sin(B+C))=(b^(2)-c^(2))/(a^(2))

    Text Solution

    |

  13. (a^(2)-b^(2))/(c^(2)-a^(2))=c/b . (sin(A-B))/(sin(C-A))

    Text Solution

    |

  14. (cos2A)/(a^(2))-(cos2B)/(b^(2))=1/(a^(2))-1/(b^(2))

    Text Solution

    |

  15. Sigmaa sin (B-C)=0

    Text Solution

    |

  16. If a sin a=b sin B then prove that Delta ABC is isosceles.

    Text Solution

    |

  17. If a cosA=b cos B then prove that Delta ABC is eitherisosceles or righ...

    Text Solution

    |

  18. In DeltaABC if (cosA)/a=(cosB)/b=(cosC)/c Prove that DeltaAB C is equi...

    Text Solution

    |

  19. Prove that a^(2)+b^(2)+c^(2)=2(ab cos C +bc cosA +ca cos B)

    Text Solution

    |

  20. (cosA)/a+(cosB)/b+(cosC)/c=(a^(2)+b^(2)+c^(2))/(2abc)

    Text Solution

    |