Pregunta
Solve the equation on the interval \( 0 \leq \theta<2 \pi \). \[ \begin{array}{l}\sin \theta+3=5 \\ \text { What are the solutions in the interval } 0 \leq \theta<2 \pi \text { ? Select the correct choice and fill in any answer boxes in your choice below. } \\ \text { A. The solution set is }\{\text {. } \\ \text { (Simplify your answer. Type an exact answer, using } \pi \text { as needed. Type your answer in radians. Use integers or fraction } \\ \text { to separate answers as needed.) } \\ \text { B. There is no solution. }\end{array} \text {. } \]
Ask by Chen Love. in the United States
Dec 03,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
B. There is no solution.
Solución
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Como
Mind Expander
To solve the equation \(\sin \theta + 3 = 5\), we first isolate the sine function by subtracting 3 from both sides: \[ \sin \theta = 5 - 3 \] \[ \sin \theta = 2 \] However, the sine function has a range of \([-1, 1]\). Since 2 is outside this range, there are no values of \(\theta\) for which \(\sin \theta = 2\). So, the solution to this equation is: \[ \text{B. There is no solution.} \]
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