heh someone bet me to it ...
The difference is a lot lol....
cos34° = 0.8290375726...
Cos34(rads) = -0.8485702748...
F is actually Frmax remember...
If its in limiting equilibrium, Then the friction is up the slope, and a componant of gravity is down the slope. So along the slope, you get
mgsin
α=Frmax
and at a right angle, you have the reaction vs the other componant of the gravitational force. Thus - mgcosα=R
Since Frmax=μR, μ=F/R, so you get mgsinα/mgcosα=μ=tanα
Assuming the object is in Limiting Equilibrium . It will not give you the correct value of μ otherwise it will be lower.
I've attached a little diagram i did in paint.
I am actually studying double maths so i hve done 2 mechanics modules, and doing the final one in a month lol...