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cos 2 3 0 o – sin 2 13 5 o + 8 sin 4 5 o cos 13 5 o = ....

  1. begin mathsize 12px style negative 4 1 fourth end style

  2. begin mathsize 12px style negative 3 3 over 4 end style

  3. begin mathsize 12px style 4 1 fourth end style

  4. begin mathsize 12px style 4 end style

  5. begin mathsize 12px style 3 3 over 4 end style

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begin mathsize 11px style cos squared space 30 to the power of o space – space sin squared space 135 to the power of o space plus space 8 space sin space 45 to the power of o space cos space 135 to the power of o space equals open parentheses 1 half square root of 3 close parentheses squared minus sin squared left parenthesis 180 to the power of o minus 45 to the power of o right parenthesis plus 8 open parentheses 1 half square root of 2 close parentheses space cos left parenthesis 180 to the power of o minus 45 to the power of o right parenthesis equals 3 over 4 minus sin squared space 45 to the power of o plus 4 square root of 2 left parenthesis negative cos space 45 to the power of o right parenthesis equals space 3 over 4 minus open parentheses 1 half square root of 2 close parentheses squared plus 4 square root of 2 open parentheses negative 1 half square root of 2 close parentheses equals space 3 over 4 minus 2 over 4 minus 4 open parentheses 2 over 2 close parentheses equals 1 fourth minus 4 equals negative 15 over 4 equals negative 3 3 over 4 end style

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sin 3 0 0 . cos 4 5 0 sin 4 5 0 . cos 3 0 0 ​ = ....

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