Easy proof don't know where i am going wrong

[fresh]

the question is show that (1+i)^(95) =(1-i)*2^(47)
we are told that z^(n) = r^(n) * e^(i*n*theta)

when i do the problem i get

(1+i)^(95) =(1+i)*2^(47)

can anybody verify whether i am right or wrong. thanks

 

[vincentchan]

show me your r and theta b4 i can further help you... the question has no problem and I get (1-i)*2^47

 

[fresh]

stupid me... i know what it is now... my problem was that i had sin(95pi/4) = 1/sqrt2 and not the negative of that... thanks checking the problem