To find the possible values of "a" in the given equation cos(x) = -1 - a^2, we need to consider the range of the cosine function.
The cosine function has a range of -1 to 1. Since the right-hand side of the equation is -1 - a^2, we need to make sure that the expression falls within the valid range of the cosine function.
Since -1 - a^2 is on the left side of the equation, it needs to fall within the range of -1 to 1. This means that -1 - a^2 must be between -1 and 1 in order for the equation to hold true.
To satisfy this condition, we can set up the following inequality:
-1 < -1 - a^2 < 1
Solving the inequality, we get:
0 < a^2 < 2
Taking the square root of both sides, we get:
0 < a < √2
Therefore, the possible values of "a" that satisfy the given equation are all real numbers between 0 and the square root of 2.
To find the possible values of "a" in the given equation cos(x) = -1 - a^2, we need to consider the range of the cosine function.
The cosine function has a range of -1 to 1. Since the right-hand side of the equation is -1 - a^2, we need to make sure that the expression falls within the valid range of the cosine function.
Since -1 - a^2 is on the left side of the equation, it needs to fall within the range of -1 to 1. This means that -1 - a^2 must be between -1 and 1 in order for the equation to hold true.
To satisfy this condition, we can set up the following inequality:
-1 < -1 - a^2 < 1
Solving the inequality, we get:
0 < a^2 < 2
Taking the square root of both sides, we get:
0 < a < √2
Therefore, the possible values of "a" that satisfy the given equation are all real numbers between 0 and the square root of 2.