Verifying Sum Difference Formula Results

Thread starter aisha
Start date Jan 12, 2005
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Difference Formula Sum

AI Thread Summary

The discussion centers on verifying the application of the sum difference formula for trigonometric functions. The user correctly applied the formula to calculate sin(30 degrees + 45 degrees) and showed their work using special triangles. They rationalized the denominator and arrived at the result of (√2 + √6) / 4. Other participants confirmed that the calculations were accurate. The overall consensus is that the user made no errors in their computations.

Jan 12, 2005

aisha

Using the sum difference formula I got the following

\sin(30 degrees +45 degrees)=sin 30 cos45+cos 30 sin 45

I used the special triangles and got

(\frac {1}{2})(\frac {1}{\sqrt2})+(\frac {\sqrt3}{2}) (\frac {1}{\sqrt2})

I rationalized the denominator and got
\frac {\sqrt2+\sqrt6} {4}

Did i make any errors? Can someone please verify.

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Jan 12, 2005

Curious3141

Homework Helper

Absolutely correct, well done.

Jan 12, 2005

aisha

Thanks curious

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