8cos t/ sin^t x sin^2t-sin t cos t/ sin^2 t - cos^2 t = ?

Question

Using algebra & Trig. Identities to simplify. The x is not a variable, it multiply.

(8cos t/ sin^2 t) (sin^2 t-sin t cos t) / (sin^2 t - cos^2 t)

Answer 1

If you mean:
(8cos t/ sin^2t)(sin^2t-sin t cos t)/ (sin^2 t - cos^2 t)
= 8cot t/ sint *[sint(sint-cost]/[(sint-cost)(sint+cost)]
8cot t/(sin t + cost)

Answer 2

There is a typographical error at sin^t

Remember sin2t=2sint cost
and sin^2t+cos^2t=1