SOLUTION: Find the exact value. (We are suppost to be using the trig addition and subtraction formulas to find a solution) For the first problem I got the answer -(√2)/2 and I got tot
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Question 148768: Find the exact value. (We are suppost to be using the trig addition and subtraction formulas to find a solution) For the first problem I got the answer -(√2)/2 and I got totally lost on the second problem. I'm not sure if my answer was correct. Help would be greatly appeciated. Thanks
1) sin(11pi/12) (use 11pi/12=2pi/3+pi/4)
2) tan(7pi/12) (use 7pi/12=3pi/4-pi/6)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you started
... Start with the given expression.
... Break up to get .
... Use the "Sum-Difference" identities to rewrite the expression. Here's a good list of trig identities: http://www.sosmath.com/trig/Trig5/trig5/trig5.html
Take the sine of to get . Take the cosine of to get . Take the cosine of to get . Finally, take the sine of to get . If you aren't familiar with these values, use the unit circle.
Multiply.
Combine the fractions.
So
note: you can use a calculator to check your work.
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