Question
Second square theta minus 10 square theta is equal to 1 2 or 4
Answers
GPT-4o mini
To find the values for \(\theta\) that satisfy the equation \(2\sin^2\theta - 10\sin^2\theta = 1\), we first simplify the left side.
Starting with the equation:
\[
2\sin^2\theta - 10\sin^2\theta = 1
\]
Combine like terms:
\[
-8\sin^2\theta = 1
\]
Divide both sides by -8:
\[
\sin^2\theta = -\frac{1}{8}
\]
Since \(\sin^2\theta\) cannot be negative, there are no real solutions to this equation. Thus, there are no values of \(\theta\) that satisfy the original equation.
If you intended a different equation or if there's something specific you'd like to explore, please clarify!
Starting with the equation:
\[
2\sin^2\theta - 10\sin^2\theta = 1
\]
Combine like terms:
\[
-8\sin^2\theta = 1
\]
Divide both sides by -8:
\[
\sin^2\theta = -\frac{1}{8}
\]
Since \(\sin^2\theta\) cannot be negative, there are no real solutions to this equation. Thus, there are no values of \(\theta\) that satisfy the original equation.
If you intended a different equation or if there's something specific you'd like to explore, please clarify!