Home
Class 12
MATHS
Simplify : ((cos3theta+isin3theta)^(2)(c...

Simplify : `((cos3theta+isin3theta)^(2)(cos3theta-isin3theta)^(-3))/((cos4theta+isin4theta)^(-4)(costheta+isintheta)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
`cos29theta+sin29theta`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Solution to Exercise 2.9|25 Videos
  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|21 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

Similar Questions

Explore conceptually related problems

Express the following in a+i b form: ((cos2theta-isin2theta)^4(cos4theta+isin4theta)^(-5))/((cos3theta+isin3theta)^(-2)(cos3theta-isin3theta)^(-9))

Simplify : ((cos6theta+isin6theta)(cos2theta+isin2theta))/((cos4theta-isin4theta)(cos3theta+isin3theta))

Simplify : ((1+ cos theta - isin theta)/(1+cos theta + i sin theta))^5

((cos theta+isin theta)^4)/((sin theta+icos theta)^5)=?

((cos theta + i sin theta)^(6))/((cos theta - isin theta)^(5)) = ________

Simplify: (sin(90-theta)costheta)/(cos(90-theta)sintheta)+1=

If (costheta +isintheta)(cos2theta +isin2theta).....(cosntheta + isinntheta) = 1 then the value of theta is:

Show that [(costheta -cos3theta)(sin8theta+sin2theta)]/[(sin5theta -sintheta)(cos4theta-cos6theta)]=1 .

Show that ((cos theta - cos 3theta)(sin 8theta + sin 2 theta))/((sin 5 theta - sin theta)(cos 4 theta - cos 6 theta)) = 1

If cos 3theta+sin3theta+(2sin2theta-3)(sin theta-cos theta)gt0 , then theta lies in

PREMIERS PUBLISHERS-COMPLEX NUMBERS-Problem for practice
  1. Find the odd one out .

    Text Solution

    |

  2. (1 + e^(-i theta))/(1 + e^(i theta))=

    Text Solution

    |

  3. Match the following Column I to Column II

    Text Solution

    |

  4. choose the correct pair of statement : (i) (costheta+isintheta)^(n)=...

    Text Solution

    |

  5. Find the incorrect pair of statements: (i) Re(z) ge |z| (ii) |z^(n...

    Text Solution

    |

  6. Find the odd one out .

    Text Solution

    |

  7. If omega is the cube root of unity then Assertion : (1-omega+omega^(...

    Text Solution

    |

  8. Simplify [(i^(4)+i^(9)+i^(16))/(3-2i^(5)-i^(10)-i^(15))]^(10)

    Text Solution

    |

  9. Find x and y if sqrt(x^(2)+3x+8)+(h+4)i=y(2+i)

    Text Solution

    |

  10. P represents the variable complex number z find the locus of z if : ...

    Text Solution

    |

  11. Represents the variable complex number z. Find the locus of P if arg((...

    Text Solution

    |

  12. P represents the variable complex number z find the locus of z if : ...

    Text Solution

    |

  13. Simplify : ((cos3theta+isin3theta)^(2)(cos3theta-isin3theta)^(-3))/((c...

    Text Solution

    |

  14. If alpha and beta are the roots of x^(2)-2x+2=0 and cottheta=y+1,show ...

    Text Solution

    |

  15. If alpha and beta are the roots of x^(2)-2x+2=0 the prove that alpha^(...

    Text Solution

    |

  16. Solve x^(9)-x^(5)+x^(4)-1=0

    Text Solution

    |

  17. show that ((-1+isqrt(3))/(2))^(5)+((-1-isqrt(3))/(2))^(5)=-1

    Text Solution

    |

  18. Find all values of ((1)/(2)-i(sqrt(3))/(2))^((3)/(4)) and hence find t...

    Text Solution

    |

  19. If x=costheta+isintheta Prove that (x^(2n)-1)/(x^(2n)+1)=itantheta

    Text Solution

    |

  20. Prove that ((1+sin.(pi)/(8)+icos.(pi)/(8))/(1+sin.(pi)/(8)-icos.(pi)/(...

    Text Solution

    |