Home
Class 12
MATHS
Simplify the following ((costheta-is...

Simplify the following
`((costheta-isintheta)^7)/((sin2theta-icos2theta)^4)`

Text Solution

Verified by Experts

The correct Answer is:
`cis(-15theta)`
Promotional Banner

Topper's Solved these Questions

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE - 6 (SHORT ANSWER QUESTIONS)|24 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE - 6 (LONG ANSWER QUESTIONS)|21 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|3 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

Similar Questions

Explore conceptually related problems

((cos3theta-isin3theta)^4)/((sin2theta+icos2theta)^5)=

(1+costheta-isintheta)^4 =

Simplify the following ((sinalpha+icos alpha)^4)/((sin2theta-icos2theta)^3)

(sintheta+sin2theta)/(1+costheta+cos2theta)

Simplify the following (cis(-3theta)cis2theta)/(cis4theta(cistheta)^6)

(3costheta+cos3theta)/(3sintheta-sin3theta)=

(sin^4theta-cos^4theta)/(sin^2theta-cos^2theta) = ………………..

Evaluate the following : (sin theta + cos theta)^(2) + (sin theta - cos theta)^(2)

(sintheta-2sin^3theta)/(2cos^3theta-costheta) = …………….

The value of (cos2 theta + i sin 2 theta)^5(sin theta+i cos theta)^4 is