SOLUTION: Use the sum and differences formulas to prove the result of cos t = sin (t+pi/2). (Hint: Let θ= t and let phi = pi/2. See what sin(t+pi/2) equals.) Can you please show m

Algebra ->  Finance -> SOLUTION: Use the sum and differences formulas to prove the result of cos t = sin (t+pi/2). (Hint: Let θ= t and let phi = pi/2. See what sin(t+pi/2) equals.) Can you please show m      Log On


   

Question 980776: Use the sum and differences formulas to prove the result of cos t = sin (t+pi/2).
(Hint: Let θ= t and let phi = pi/2. See what sin(t+pi/2) equals.)
Can you please show me how to do this problem? Thank you.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sin%28x%2By%29=sin%28x%29cos%28y%29%2Bcos%28x%29sin%28y%29
Now substitute,
x=t
and
y=pi%2F2
sin%28t%2Bpi%2F2%29=sin%28t%29%2Acos%28pi%2F2%29%2Bcos%28t%29%2Asin%28pi%2F2%29
Now simplify.