Question

Pi -pi/6 как решить????????????????

Answer 1

Pi -pi/6 =(6pi-pi)/6=5pi/6

Если в градусах:
pi=180°

pi/6=180°/6=30°

5pi/6=5×180°/6=150°

180°-30°=150°

Answer 2

Solving sin(x+pi/6)=-1/2

To solve the equation sin(x+pi/6)=-1/2, we can use the trigonometric identity for sin(x+y) which is sin(x)cos(y)+cos(x)sin(y). Let's solve it step by step.

1. Trigonometric Identity for sin(x+y): - The trigonometric identity for sin(x+y) is sin(x)cos(y)+cos(x)sin(y).

2. Using the Identity to Solve the Equation: - We can use the identity sin(x+y)=-1/2 to solve for x.

3. Step-by-Step Solution: - We can solve the equation by setting up the equation sin(x)cos(pi/6)+cos(x)sin(pi/6)=-1/2 and then solving for x.

4. Result: - The solution to the equation sin(x+pi/6)=-1/2 is x = -pi/3 + 2n*pi or x = (5*pi)/6 + 2n*pi, where n is an integer.

This solution is based on the trigonometric identity for sin(x+y) and the specific equation provided [[1]](https://mrexam.ru/equation/e/sinus_ot_x_plyus_chislo_pi_delit_na_shest_ravno_minus_odin_delit_na_dva).

I hope this helps! If you have any more questions or need further assistance, feel free to ask.