Question

Cos pi/3 + 4sin pi/6 - ctg3pi/4 + tg^2pi/3

Answer 1

По ответам должно быть так 1/2 1/√3 1. решение: sin(-11pi/6) = sin(pi/6-2pi) = sin(pi/6) = 1/2

Answer 2

Let's break down the expression step by step:

1. cos(pi/3): The cosine of pi/3 is equal to 1/2.

2. 4sin(pi/6): The sine of pi/6 is equal to 1/2. So, 4sin(pi/6) = 4 * (1/2) = 2.

3. ctg(3pi/4): The cotangent (ctg or cot) of 3pi/4 can be calculated as the reciprocal of the tangent. The tangent of 3pi/4 is -1, so the cotangent is -1.

4. tg^2(pi/3): The square of the tangent of pi/3 can be calculated as follows: tan(pi/3) = sqrt(3) So, (tan(pi/3))^2 = 3.

Now, let's put it all together:

cos(pi/3) + 4sin(pi/6) - ctg(3pi/4) + tg^2(pi/3) = 1/2 + 2 - (-1) + 3

Now, simplify the expression:

1/2 + 2 + 1 + 3 = 6.5

So, the value of the expression is 6.5.