Grade 11Algebra
find the value of (cos theta - i sin theta)^4/(sin theta + i cos theta)^5
find the value of (cos theta - i sin theta)^4/(sin theta + i cos theta)^5
2 Answers
Vikas TU
Write,
(cos theta - i sin theta)^4/(sin theta + i cos theta)^5 in euler form:
=> (e^-4ithetha)/(e^5ithetha)
=> (e^-9*i*thetha)
Now write it in polar form again,
=> cos9thetha – i*sin9thetha
Amit S Wabale
=> e^4i theta / e^-5i theta=> e^-9i thetaNow the answer in polar form Sin 9 theta - cos 9 thetaSin9 theta - icos9 theta
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