Question

4sin x=5sin x+1=0

Answer 1

Ответ:

sin(x)=4/5

Пошаговое объяснение:

Answer 2

To solve the equation 4sin(x) = 5sin(x) + 1 = 0, we can start by combining the two terms on the right side of the equation:

4sin(x) - 5sin(x) = -1

Simplifying the left side:

-sin(x) = -1

Now, we can isolate sin(x) by multiplying both sides by -1:

sin(x) = 1

To find the values of x that satisfy this equation, we can use the inverse sine function (sin^(-1)) or arcsin:

x = arcsin(1)

The arcsin of 1 is equal to π/2 or 90 degrees. Therefore, x = π/2 + 2πn, where n is an integer representing the number of complete cycles of the sine function.

So the solution to the equation 4sin(x) = 5sin(x) + 1 = 0 is x = π/2 + 2πn, where n is an integer.