Question

If Sin(π/5+x)=cos(π/7+2x), then what is x?

Answer 1

`x=(11pi)/210`

Explanation:

`rarrsin(pi/5+x)=cos(pi/7+2x)`

`rarrcos(pi/2-(pi/5+x))=cos(pi/7+2x)`

`rarrpi/2-(pi/5+x)=pi/7+2x`

`rarrpi/2-pi/5-pi/7=2x+x=3x`

`rarr3x=(11pi)/70`

`rarrx=(11pi)/210`