Question

I am so stuck. I have to evaluate sin n (pi) for the function? X(t) = (cos(pi)(t)×sin(20)(pi)(t) what is the valve of t when x(t) = 0 between t=0 to t= 1 Help please

Answer 1

Common solution to each factor = 0 is `t = 0.5`. This is the only solution contributed by `cos pit = 0, t in [ 0, 1 ]`. The solutions from `sin 20pit = 0` are k/20, k =0, 1, 2, ...20#. See graph.

Explanation:

The t-intercepts, in the graph, are solutions.
graph{(y-cos(pi x))(y-sin(20pi x))(x+0.0001y)(x-1+0.0001y)( y-1+0x)(y+1+0x)=0[-0.02 1.02 -1 1]}