Question

Тригенометрическое решение: Sin(x+/3)=1 Помогите.

Answer 1

Ответ:
x=$\frac{ \pi }{6}$+2k$\pi$,k∈Z

Answer 2

Trigonometric Solution: Sin(x/3) = 1

To solve the equation sin(x/3) = 1, we can follow these steps:

Step 1: Rewrite the equation using the inverse of the sine function: x/3 = arcsin(1)

Step 2: Simplify the right side of the equation: The arcsin(1) is equal to π/2 or 90 degrees.

Step 3: Solve for x: Multiply both sides of the equation by 3 to isolate x: x = 3 * (π/2) Simplifying further, we get: x = (3π)/2

Therefore, the solution to the equation sin(x/3) = 1 is x = (3π)/2.

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