SOLUTION: if f(x)=6 sin x find f (315(degrees)). do not use a calculator Please help!! Thank you!!

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Question 1151302: if f(x)=6 sin x find f (315(degrees)). do not use a calculator
Please help!! Thank you!!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=6sin%28+x%29 find f%28315%28degrees%29%29
f%28315%28degrees%29%29 =>x=315%28degrees%29

f%28x%29=6sin%28+315%29

On the trig unit circle, sin%28315%29+=+sin+%28-45+%2B+360%29+=+sin+%28-45%29+=+-+sin+%2845%29+=-sqrt%282%29%2F2
Trig table gives -> sin%28315%29=+-sin%2845%29=-sqrt%282%29%2F2
+f%28x%29=6%28-sqrt%282%29%2F2%29
+f%28x%29=cross%286%293+%28+-sqrt%282%29%2Fcross%282%29%29
f%28x%29=+-3sqrt%282%29