MathematicsThe value of sin230°+cos260°+2sin30°.cos60° is

The value of $\sin^{2} 30 ° + \cos^{2} 60 ° + 2 \sin 30 ° . \cos 60 °$ is

A
$\frac{1}{2}$
B
$\frac{1}{\sqrt{2}}$
C
1
D
$\sqrt{2}$

Solution:

${(\sin 30 ° + \cos 60 °)}^{2} = {(\frac{1}{2} + \frac{1}{2})}^{2} = 1$

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