Can you explain what is the answer if I encounter(sinθ – 1)?

Can you also teach me how to get the LCD of cos^2θ and cos^3θ?

Thanks.

the first part is unclear. What do you mean by "encounter"? it's just an expression like any other; it has no "answer".

What is the LCD of x^2 and x^3? Hard to say, since there are no fractions involved. The GCF is just x^2; the LCM is x^3.