Question

solve algebraically 8cos(2x-5)=3 general solution in radians
5.2sin (45degrees(x+8degrees))-1=-3 general solution in degrees

Answer 1

for the 1st equation

divide booth sides by 8

\[\cos(2x - 5) = \frac{3}{8}\]

so then

\[2x - 5 = \cos^{-1}(\frac{3}{8})\]

find the angle in radians, then add 5 and divide by 2 to find x