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.

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