SOLUTION: 13. Find the exact value of sin 30 ° - sin 45 ° cos 45 ° . a. 0 b. 1/2 c. 1 d. 2 *I simplified the equation to (1/2)(4)°-(2)°/(4)°, then I got stuck. Please help me and

Algebra ->  Trigonometry-basics -> SOLUTION: 13. Find the exact value of sin 30 ° - sin 45 ° cos 45 ° . a. 0 b. 1/2 c. 1 d. 2 *I simplified the equation to (1/2)(4)°-(2)°/(4)°, then I got stuck. Please help me and       Log On


   

Question 329103: 13. Find the exact value of sin 30 ° - sin 45 ° cos 45 ° .
a. 0
b. 1/2
c. 1
d. 2
*I simplified the equation to (1/2)(4)°-(2)°/(4)°, then I got stuck. Please help me and I thank you for your time.

Found 3 solutions by Fombitz, Alan3354, bjkblr2:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Get rid of the degree symbols in your solution.
Not sure where the 4 in the first term came from because sin%2830%29=1%2F2

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the exact value of sin 30 ° - sin 45 ° cos 45 °
= %281%2F2%29+-+%28sqrt%282%29%2F2%29%2A%28sqrt%282%29%2F2%29
= 1/2 - 1/2
= 0

Answer by bjkblr2(1) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is 0
because sin30=1/2 and sin45=cos45=1/square root 2
there fore sin30-sin45 * cos45 =1/2 - 1/2 =0 ( because 1/square root2 *1/square root2 = 1/2