Solve the equation by first using a SumtoProduct Formula Ent

Solve the equation by first using a Sum-to-Product Formula. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate.) sin(4) sin(2) = cos(3) =

Solution

sin(4) sin(2) = cos(3)

Using sin() – sin() = 2sin( ( )/2 )cos( ( +)/2 )

2*sin*cos3 = cos(3)

2*sin = 1

sin = 1/2

= arcsin(1/2) = 30 degree