Question

Sin (п/2-L) Sin (п-L) Tg(90-L) Cos(2П+L) Ctg(360+L)

Answer 1

CosL
sinL
ctg L
cosL
последнее не знаю

Answer 2

Let's break down each term step by step:

1. sin(π/2 - L): The angle inside the sine function is π/2 - L, where L is the given angle. Since sin(π/2) = 1, this term simplifies to sin(π/2 - L) = cos(L).

2. sin(π - L): The angle inside the sine function is π - L, where L is the given angle. Since sin(π) = 0, this term simplifies to sin(π - L) = -sin(L).

3. tan(90 - L): The angle inside the tangent function is 90 - L, where L is the given angle. Since tan(90) is undefined, this term simplifies to tan(90 - L) = -cot(L).

4. cos(2π + L): The angle inside the cosine function is 2π + L, where L is the given angle. Since cos(2π) = 1, this term simplifies to cos(2π + L) = cos(L).

5. cot(360 + L): The angle inside the cotangent function is 360 + L, where L is the given angle. Since cot(360) is undefined, this term simplifies to cot(360 + L) = -tan(L).

So, putting it all together, the expression becomes:

cos(L) * (-sin(L)) * (-cot(L)) * cos(L) * (-tan(L))

Simplifying further:

cos(L) * sin(L) * cot(L) * cos(L) * tan(L)

Note that cot(L) is equal to 1/tan(L), so we can rewrite the expression as:

cos(L) * sin(L) * (1/tan(L)) * cos(L) * tan(L)

sin(L) and cos(L) cancel each other out:

sin(L) * (1/tan(L)) * tan(L)

Finally, tan(L) and 1/tan(L) cancel each other out:

sin(L)

Therefore, the expression simplifies to sin(L).