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Question

# Assertion :cos36o−cos72ocos36ocos72o=2. Reason: sin15o=√6−√24.

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Assertion is incorrect but Reason is correct
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Solution

## The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for AssertionAssertion: cos36−cos72cos36cos72=√5+14−√5−14√5+14√5−14=1214=2 Reason: sin15=sin(45−30)=sin45cos30−cos45sin30=1√2√32−1√212=√3−12√2=√6−√24 Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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