SOLUTION: Okay, so I'm confused on how to answer this... The question is... Use the sum-to-product formula to write the product as a sum or difference. cos(theta+pi/2) - cos(theta-pi/

Algebra ->  Trigonometry-basics -> SOLUTION: Okay, so I'm confused on how to answer this... The question is... Use the sum-to-product formula to write the product as a sum or difference. cos(theta+pi/2) - cos(theta-pi/      Log On


   



Question 1007632: Okay, so I'm confused on how to answer this...
The question is... Use the sum-to-product formula to write the product as a sum or difference.
cos(theta+pi/2) - cos(theta-pi/2)
How do I find the answer ?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
cos%28theta%2Bpi%2F2%29+=+cos%28theta%29cos%28pi%2F2%29+-+sin%28theta%29sin%28pi%2F2%29

cos%28theta%2Bpi%2F2%29+=+cos%28theta%29%2A0+-+sin%28theta%29%2A1

cos%28theta%2Bpi%2F2%29+=+0+-+sin%28theta%29

cos%28theta%2Bpi%2F2%29+=+-sin%28theta%29

-----------------------------------------------------------------------------

cos%28theta-pi%2F2%29+=+cos%28theta%29cos%28pi%2F2%29+%2B+sin%28theta%29sin%28pi%2F2%29

cos%28theta-pi%2F2%29+=+cos%28theta%29%2A0+%2B+sin%28theta%29%2A1

cos%28theta-pi%2F2%29+=+0+%2B+sin%28theta%29

cos%28theta-pi%2F2%29+=+sin%28theta%29

-----------------------------------------------------------------------------

cos%28theta%2Bpi%2F2%29+-+cos%28theta-pi%2F2%29+=+-sin%28theta%29-sin%28theta%29

cos%28theta%2Bpi%2F2%29+-+cos%28theta-pi%2F2%29+=+-2sin%28theta%29 <---- Final Answer