verify the identities: cos(x+pi/2) = -sin(x) can someone please help because i don't understand this question. thanks so much could you also please show your work? thanks again
Verify the following identity:
cos(x+pi/2) = -sin(x)
cos(pi/2+x) = cos(pi/2) cos(x)-sin(pi/2) sin(x):
cos(pi/2) cos(x)-sin(pi/2) sin(x) = ^?-sin(x)
cos(pi/2) = 0:
0 cos(x)-sin(pi/2) sin(x) = ^?-sin(x)
sin(pi/2) = 1:
-sin(x) = ^?-sin(x)
The left hand side and right hand side are identical:
Answer: | (identity has been verified)