`(1+cos theta+sin theta)/(1-cos theta+sin theta)` = ?

Prove that ((1+cos theta+i sin theta)/(1+cos theta-i sin theta))^(n)=cos n theta+i sin n theta

If n is a positive integer,prove the following (1+cos theta+i sin theta)+(1+cos theta-i sin theta)^(n)=2^(n+1)cos^(n)((theta)/(2))cos((n theta)/(2))

cos theta/(1-sin theta) + cos theta/(1+sin theta) = 4

The value of (1+cos theta+i sin theta)^(n)+(1+cos theta-i sin theta)^n=

The value of (1+cos theta+i sin theta)^(n)+(1+cos theta-i sin theta)^(n)=

If theta=(pi)/(6) then the 10^(th) term of the series : 1+(cos theta+i sin theta)^(1)+(cos theta+i sin theta)^(2)+

if theta=(pi)/(6) then the 10 th term of the series 1+(cos theta+i sin theta)^(1)+(cos theta+i sin theta)^(2)+

If theta=(pi)/(6) then find the 10 th term of the series 1+(cos theta+i sin theta)^(1)+(cos theta+i sin theta)^(2)+...

Prove that (cos theta-sin theta+1)/(cos theta+sin theta-1)=csc theta+cot theta

If (cos theta )/(1-sin theta )+(cos theta )/(1+sin theta )=4, 0^@ यदि (cos theta )/(1-sin theta )+(cos theta )/(1+sin theta )=4, 0^@< theta<90^@ , है, तो (tan theta+ cosec theta) का मान क्या होगा ?