Question

Mary used the formula sin 50°cos 20º - cos 50° sin 20° to solve a problem. Which of the following identities does this simplify to?

Answer 1

Step-by-step explanation

Since we have the equation 50°cos 20º - cos 50° sin 20°, we can apply the following relationship:

`\mathrm{Use\:the\:following\:identity}:\quad\sin(A-B)=\sin A\cos B-\cos A\sin B`
`Plug\text{ the terms:}`
`=\sin(50-20)`
`\mathrm{Simplify}`
`=\sin30=(1)/(2)`

In conclusion, the solution is sin (30) = 1/2