Help with trig related problem, please! (:

[samanthabroooke]

Alright, so I'm supposed to use the sum to product formula to
rewrite sin60+sin90 as a product.

i know that the product to sum formula is sinU+sinV=2sin(U+V/2)cos(U-V/2) but
am confused on how to plug it in/solve this.
Thank you.

 

[galactus]

\(\displaystyle sin(u)+sin(v)=2sin\left(\frac{u+v}{2}\right)cos\left(\frac{u-v}{2}\right)\)

\(\displaystyle u=90, \;\ v=60\)

\(\displaystyle sin(60)+sin(90)=2sin\left(\frac{90+60}{2}\right)cos\left(\frac{90-60}{2}\right)\)

\(\displaystyle =2sin(75)cos(15)\)