The number of solutions of the equation `2cos(x/2)=3^x+3^(-x)` is

Whenever the terms on the two sides of the equation are different nature, then equations are known non standard form of an ordinary equation. But cannot be solved by standard procedure, non standard problems require high degree of logic, they also require the use of graphs, inverse properties of functions, inequalities . The number of solutions of the equation 2 cos ((x)/(2)) = 3 ^(x) + 3^(-x) is

The number of solutions of the equation |cos x|=2[x] is

The number of solutions of the equation 2cos^(2)x+3sin x-3=0,x in(0,2 pi) is

The number of solutions of the equation |x^2|-3|x|+2=0 is

The number of solutions of the equation |x^2|-3|x|+2=0 is

The number of solutions of the equation 2cos 2x-3 cot 3 x =tan 2 x is

The number of solutions of the equation (3+cos x)^(2)=4-2sin^(8)x" in "[0, 9pi) is equal to