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Question

STATEMENT - 1 : cos15=3+122
STATEMENT - 2 : cos(AB)=cosAcosB+sinAsinB

A
Statement - 1 is True, Statement - 2 is True, Statement - 2 is a correct explanation for Statement - 1
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B
Statement - 1 is True, Statement - 2 is True : Statement 2 is NOT a correct explanation for Statement - 1
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C
Statement - 1 is True, Statement - 2 is False
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D
Statement - 1 is False, Statement - 2 is True
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Solution

The correct option is A Statement - 1 is True, Statement - 2 is True, Statement - 2 is a correct explanation for Statement - 1
Putting A=45 and B=30
We get cos(4530)=cos45cos30+sin45sin30
=12×32+12×12=3+122

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