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2cos 45^0 cos 15^0

Question

$2 cos 4 5^{0} cos 1 5^{0}$

\frac{3}{2}

\frac{( 3 - 1 )}{2}

\frac{( 3 + 1 )}{2}

\frac{3}{2}

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Text solutionVerified

Using

2 cos A cos B = cos (A + B) + cos (A - B)

we get:

2 cos 4 5^{0} cos 1 5^{0} = cos (4 5^{0} - 1 5^{0}) + cos (4 5^{0} - 1 5^{0})

= (cos 6 0^{0} + cos 3 0^{0})

= (\frac{1}{2} + \frac{3}{2})

= \frac{( 3 + 1 )}{2}

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