Question

State the following statement is true or false

$\sin {12}^{\circ }\cos {78}^{\circ }+\cos {12}^{\circ }\sin {78}^{\circ }=2$

• A. True
• B. False

Answer 1

The correct option is B False

As we know that $\sin (A+B)=\sin A\cos B+\cos A\sin B$

$A={12}^o$ and $B={78}^o$

$\sin {12}^o\cos {78}^o+\cos {12}^o\sin {78}^o=\sin ({12}^o+{78}^o)=\sin {90}^o=1$

Statement is false