Question

Sin² a - tg a × ctg a​

Answer 1

Ответ:

Объяснение:

sin²α-tgα*ctgα =  sin²α -tgα* 1/tgα=sin²α-1=

=sin²α-(sin²α+cos²α)=sin²α-sin²α-cos²α= -cos²α

Answer 2

To simplify the expression sin²a - tan(a) × cot(a), we can use trigonometric identities.

First, let's simplify tan(a) × cot(a). The identity cot(a) = 1/tan(a) can be used here:

tan(a) × cot(a) = tan(a) × (1/tan(a)) = 1.

Therefore, the expression simplifies to:

sin²a - tan(a) × cot(a) = sin²a - 1.

So, the simplified expression is sin²a - 1.