SOLUTION: express the difference sin(pi/4)

SOLUTION: express the difference sin(pi/4) - sin(pi/6) as a product.

Question 1051343: express the difference sin(pi/4) - sin(pi/6) as a product.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

We'll use a trig identity. Specifically, we'll use this trig identity:

where in this case, and

Note: see page 2 under the "Sum to Product Formulas" section

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

Plug in and

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

The final answer is

RELATED QUESTIONS
How touse the product-to-sum formulas to write the product as a sum or difference.... (answered by Collinwilfixyouuprealnice)

sin pi/6=? sin... (answered by Alan3354)

Evaluate the expression without using a calculator (sin pi/6 cos pi/4 - sin pi/4 cos... (answered by lwsshak3)

Sin... (answered by Edwin McCravy)

Find the exact value of the expression as a single fraction.... (answered by Alan3354)

((cos(pi/4)+sin((pi/6))^2 (answered by greenestamps)

evaluate the (cos pi/4 +sin pi/6)^2 (answered by greenestamps)

evaluate the (cos pi/4 +sin... (answered by Edwin McCravy)

write the expression as sine, cosine or tangent of a single angle. cos(pi )/(6)cos(pi... (answered by ikleyn)