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Use a double angle formula to find the exact value of the given expression
2 cos ^2 7pi/12 -1 =
(simplify your answer. Type an exact answer using radicals as needed. Use integers or fractions
for any numbers in the expression.)
Solution
2cos2x -1=cos(2x)
2cos2(7pi/12) -1
=cos(2*7pi/12)
=cos(7pi/6)
=-cos(pi/6)
=-(3)/2
so 2cos2(7pi/12) -1=-(3)/2

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Use a double angle formula to find the exact value of the given expr.pdf

  • 1. Use a double angle formula to find the exact value of the given expression 2 cos ^2 7pi/12 -1 = (simplify your answer. Type an exact answer using radicals as needed. Use integers or fractions for any numbers in the expression.) Solution 2cos2x -1=cos(2x) 2cos2(7pi/12) -1 =cos(2*7pi/12) =cos(7pi/6) =-cos(pi/6) =-(3)/2 so 2cos2(7pi/12) -1=-(3)/2