Question

express into product form sin 100° +sin °50​

Answer 1

Answer:

1.75 is the correct answer

Answer 2

Answer:

we should change $sin 100\textdegree+sin 50\textdegree$ into the product form with the help of trigonometric formula. Answer: $sin100\textdegree+sin50\textdegree=2 sin75\textdegree cos25\textdegree$

Step-by-step explanation:

Trigonometric formula for $sin A + sin B$ is,

                $sin A + sin B=2 sin(\frac{A+B}{2} )cos(\frac{A-B}{2} )$

         $sin 100\textdegree+sin 50\textdegree=2 sin(\frac{100\textdegree+50\textdegree}{2} )cos(\frac{100\textdegree-50\textdegree}{2} )$

                                     $=2 sin(\frac{150\textdegree}{2} )cos(\frac{50\textdegree}{2} )$

         $sin100\textdegree+sin50\textdegree=2 sin75\textdegree cos25\textdegree$

 Answer: Product form of $sin100\textdegree+sin50\textdegree=2 sin75\textdegree cos25\textdegree$