Find the value of (cos15+sin15)/(cos15-sin15)

Steps to solve Find the value of (cos15+sin15)/(cos15-sin15)

=(cos15+sin15)/(cos15-sin15)

=[{(√3+1)/2√2}+{(√3-1)/2√2}]/[{(√3+1)/2√2}-{(√3-1)/2√2}]

=[{(√3+1+√3-1)/2√2}/{(√3+1-√3+1)/2√2}]

=2√3/2=√3

Hence the value of (cos15+sin15)/(cos15-sin15) is √3

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