Originally Posted by

**^_^Engineer_Adam^_^** How do you solve alpha and beta for these two equations?

$\displaystyle (0.5)(4.00) = (0.500)(2.00)(\cos{\alpha}) + 3(4.47)(\cos(\beta)) $

$\displaystyle 0 = 0.500(2.00)(\sin{\alpha}) - 0.300(4.47)(\sin{\beta})$

i tried but it gives me a math error

the answers are $\displaystyle \alpha = 36.9^{\circ},\beta = 26.6^{\circ}$

The hint is:

solve the 1st equation for cos(beta) first

then 2nd equation for sin(beta)

then square each equation (cos(beta))^2 + (sin(beta))^2 = 1

thats what i did but my answer at last part gives me

$\displaystyle 1.798281 = 4 - 2\cos(\alpha)$

alpha gives a math error for this equation

thank you very much