Home
Class 12
MATHS
Prove that;- sin^6θ+cos ^6θ=1−3sin^2θcos...

Prove that;- `sin^6θ+cos ^6θ=1−3sin^2θcos ^2θ`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Prove that : sin^(6)A+cos^(6)A+3sin^(2)Acos^(2)A=1

Prove: sin^2θ + cos^2θ =1

Prove that sin^6theta+cos^6theta=1-3sin^2thetacos^2theta

Prove the following identities: sin^6A+cos^6A=1-3sin^2Acos^2A

Prove that cos^6 theta+ sin^6 theta= 1-3sin^2 theta cos^2 theta

The values of θ lying between 0 and π/2 and satisfying the equation ∣ 1+sin ^2θ sin^2θ sin^2θ cos^2θ 1+cos^2θ cos^2θ 4sin4θ 4sin4θ 1+4sin4θ ∣ =0 are

tan θ.sin^2 θ=

Prove that (sec^ 2θ−1)(cosec^ 2θ−1)=1

Prove that sin(θ+30°)+cos(θ+60°)= cos θ.

Prove that: (sin3A cos4A-sin Acos2A)/(sin4A sin A+cos6A cos A)=tan2A

ALLEN-TEST PAPER-Chemistry
  1. Show that (√5+i √2)/(√5-i√2) + (√5-i√2)/(√5+i√2) is real.

    Text Solution

    |

  2. If cos(α−β)=1 and cos(α+β)= 1/e , where α, β∈[−π,π]. Then num...

    Text Solution

    |

  3. Prove that;- sin^6θ+cos ^6θ=1−3sin^2θcos ^2θ

    Text Solution

    |

  4. lf α and β are two different solutions lying between −π/2 and π/...

    Text Solution

    |

  5. The solution set of sin(x+π/4)=sin2x equals to

    Text Solution

    |

  6. Prove by the principle of mathematical induction that 2^ n >n fo...

    Text Solution

    |

  7. The equation x(x+2)(x ^2 −x)=−1 , has all roots imaginary ...

    Text Solution

    |

  8. The value of sin50^∘−sin70^∘ +sin10^∘ is

    Text Solution

    |

  9. What is the value of sin ^2 25^0+sin^2 65^0?

    Text Solution

    |

  10. Find dy/dx :6x−9+8y=0

    Text Solution

    |

  11. The roots of the equation cos ^7x+sin^4x=1 in the interval (−π,π...

    Text Solution

    |

  12. If (i ^413)(i ^x )=1 , then determine the one possible value of x.

    Text Solution

    |

  13. Express the given complex number 3(7+i7)+i(7+i7) in the form a...

    Text Solution

    |

  14. 1/(i-1) + 1/(i+1) is a. purely imaginary b. purely rational number....

    Text Solution

    |

  15. |{:(,"List-I(Atom/Ions)",,"List-II(Electron Affinity in eV/atom and co...

    Text Solution

    |

  16. |{:(,"List-I(Orbitals)",,"List-II"),(,"(Approach axis is z-axis)",,"(T...

    Text Solution

    |

  17. Let alpha and beta be the roots of the equation x^2+(2-costheta)x-(1+c...

    Text Solution

    |

  18. If 2p=x+1/x and 2q=y+1/y, then the value of ((pq+sqrt((p^2-1)(q^2-1)))...

    Text Solution

    |

  19. Let P be minimum value of 9sin^2x+16cosec^2x and S be the minimum valu...

    Text Solution

    |

  20. The values of a for which the equation 2(log(3)x)^(2)-|log(3)x|+a=0 po...

    Text Solution

    |