Question

Sin(180°-a)+cos(90°-a)+ctg(270°-a) Ответ

Answer 1

Ответ:

1) 2sin(a) - sin( a) / cos(a)

2) 2 cos(a) × sin(a) - sin (a)

cos(a) (через дробь)

3) sin(2a) - sin(a)

cos(a) (через дробь)

Объяснение:

мне это защитали

Answer 2

To simplify the expression, let's work with the given trigonometric functions one by one:

1. sin(180° - a) = sin(180°)cos(a) - cos(180°)sin(a) = 0 - (-1)sin(a) = sin(a)

2. cos(90° - a) = cos(90°)cos(a) + sin(90°)sin(a) = 0cos(a) + 1sin(a) = sin(a)

3. ctg(270° - a) = 1/tan(270° - a) = 1/(-tan(a)) = -cot(a)

Now, substituting these values back into the original expression:

sin(a) + sin(a) - cot(a) = 2sin(a) - cot(a)

So, the simplified expression is 2sin(a) - cot(a).