Solve using double angles?. Sin2x-sinx=0
2 Answers
Explanation:
We have:
Using the double-angle identity for
or
Therefore, the general solutions to the equation are
Explanation:
#"using the "color(blue)"trigonometric identity"#
#•color(white)(x)sin2x=2sinxcosx#
#2sinxcosx-sinx=0#
#sinx(2cosx-1)=0#
#"equate each factor to zero and solve for "x#
#sinx=0rArrx=kpito(k in ZZ)#
#cosx=1/2rArrx=pi/3+2kpito(k inZZ)#