Question

Choose the correct option for the following statement.

$\sin {60}^0\cos {30}^0+\cos {60}^0\sin {30}^0=1$

• A. The given statement is true.
• B. The given statement is false.
• C. Incomplete information
• D. None of these.

Answer 1

The correct option is A The given statement is true.

To Prove:$\sin {60}^0\cos {30}^0+\cos {60}^0\sin {30}^0=1$

L.H.S.: $\sin {60}^0\cos {30}^0+\cos {60}^0\sin {30}^0$

= $\frac{\sqrt{3}}{2}\times \frac{\sqrt{3}}{2}+\frac{1}{2}\times \frac{1}{2}$

= $\frac{3}{4}+\frac{1}{4}$

= $\frac{4}{4}$

= $1$

thus, $L.H.S.=R.H.S.$

The given statement is true.