Question

Решить неравенство 4sinx/4 >1

Answer 1

Ответ:

Пошаговое объяснение:

sin x/4>1/4,  на окружности нашли две точки, в которых синус равен 1/4,это arcsin1/4 и п-arcsin1/4, выколотые точки, все что выше прямой у=1/4 есть решение,  arcsin1/4+2пк<x/4<п-arcsin1/4+2пк,  умножаем все на 4,

4arcsin1/4+8пк<x<4п-4arcsin1/4+8пк,  к  Е  Z

Answer 2

To solve the inequality 4sin(x)/4 > 1, you can follow these steps:

Step 1: Simplify the expression. Divide both sides of the inequality by 4 to get rid of the fraction: sin(x) > 1

Step 2: Analyze the sine function's range. The sine function ranges from -1 to 1. Since sine cannot be greater than 1, there are no solutions to the inequality as it stands.

However, if the inequality were 4sin(x)/4 ≥ 1, then it would become: sin(x) ≥ 1

Since the range of sine is -1 to 1, there are no values of x that satisfy this inequality. In other words, there are no solutions to sin(x) ≥ 1.

In conclusion, the inequality 4sin(x)/4 > 1 has no solutions, and the inequality 4sin(x)/4 ≥ 1 also has no solutions.