Question

Tg a × cos(п - a) + sin(-a) ​

Answer 1

sin^2 a

Объяснение:

sin(-a) = -sin a

cos (n-a) = - cos a (2 четверть,косинус отрицательный)

подставим в выражение

-tg a * cos a -sin a= -sin a/cos a * cos a - sin a= - sin a * (-sina) = sin ^2 a

Answer 2

It seems like you want to simplify the expression:

Tg(a) × cos(π - a) + sin(-a)

Let's break this down step by step:

1. Tangent and cosine relationship: We know that cos(π - a) is equal to -cos(a) because the cosine function has a symmetric property around π (180 degrees). So, the expression becomes:

   tan(a) × (-cos(a)) + sin(-a)

2. Sine of negative angle: The sine function is an odd function, which means sin(-x) = -sin(x). So, we can rewrite the expression as:

   -tan(a) × cos(a) - sin(a)

So, the simplified expression is:

-tan(a) × cos(a) - sin(a)