8 pts V2 sinx cosr sinxz Find all angles in radians that sa

(8 pts) V2 sin(x) cos(r) - sin(xz)- Find all angles in radians that satisfy the equation. For each solution enter first the angle solution in available enter them in increasing order of the angles. (e.g. x = /2 + 2 or x 3n/2 Note: You are not allowed to use decimals in your answer then the period when 2 or more solutions are 2k etc.) or or or

Solution

2sin(x)cos(x) -sin(x)=0

=>(2cos(x) -1)sin(x)=0

=>sin(x)=0, 2cos(x) -1=0

=>sin(x)=0, cos(x) =1_/2

=>x=k, x=(_/4)+2k,x=(7_/4)+2k

solutions are

x=0+k

x=(_/4)+2k

x=(7_/4)+2k