Use the value of sin ta cos tb and tan tc to evaluate the ex

Use the value of sin t=a cos t=b and tan t=c to evaluate the expression in terms of a,b, and c

tan(-t)-2 tan(t-3pi) + cos(-t+10pi)-sin(-t)

tan(-t) = -tan(t) = -c

tan(t-3pi) = tan(t) = c

cos(-t+10pi) = cos(10pi - t) = cos(t) = b

sin(-t) = -sin(t) = -a

expression = -c-2c+b+a = a+b-3c