We read your photo as:

Isolate the cosine term.

April 6, 2026Mathematics

ScanSolve AI Answer

Answer

\text{No solution}

4 steps

Isolate the cosine term.
We are given the equation:
$3\cos(2x) + 9 = -13$
Subtract 9 from both sides:
$3\cos(2x) = -13 - 9$ $3\cos(2x) = -22$
Divide by 3:
$\cos(2x) = -\frac{22}{3}$
Evaluate the value of $\cos(2x)$ .
The value $-\frac{22}{3}$ is approximately $-7.33$ .
Check the range of the cosine function.
The range of the cosine function is $[-1, 1]$ . This means that for any real angle $\theta$ , $-1 \le \cos(\theta) \le 1$ .
Determine if a solution exists.
Since $-\frac{22}{3}$ is less than $-1$ , it falls outside the possible range of values for $\cos(2x)$ . Therefore, there is no real angle $2x$ for which $\cos(2x) = -\frac{22}{3}$ .

Conclusion:
There are no solutions for $x$ in the given range $0^\circ \le x < 360^\circ$ .
$\text{No solution}$

Was this helpful?

A new problem that tests the same skill.

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question