Suggested languages for you:

Americas

Europe

Problem 920

Find the solution set on \((0,2 \pi)\) for \(\sin \mathrm{x}=\cos \mathrm{x}\).

Expert verified

The solution set for the equation \(\sin{x} = \cos{x}\) on the interval \((0, 2\pi)\) is \(\left\{\frac{\pi}{4}, \frac{\pi}{2}, \frac{5\pi}{4}\right\}\).

What do you think about this solution?

We value your feedback to improve our textbook solutions.

- Access over 3 million high quality textbook solutions
- Access our popular flashcard, quiz, mock-exam and notes features
- Access our smart AI features to upgrade your learning

Chapter 29

Solve: \(2 \cos 3 \mathrm{x}+1=0\)

Chapter 29

Prove $\sin \left(45^{\circ}+\mathrm{x}\right)+\sin \left(45^{\circ}-\mathrm{x}\right)=\sqrt{2} \cos \mathrm{x}$

Chapter 29

Prove the identity \(\cos ^{4} \beta-\sin ^{4} \beta=1-2 \sin ^{2} \beta\).

Chapter 29

Prove the identity \((\sec x+1) /(\sec x-1)=\cot ^{2} x / 2\).

Chapter 29

Solve the equation \(2 \sin 2 \theta+\cos 2 \theta+2 \sin \theta=1\) for non- negative values of \(\theta\) less than \(2 \pi\).

The first learning app that truly has everything you need to ace your exams in one place.

- Flashcards & Quizzes
- AI Study Assistant
- Smart Note-Taking
- Mock-Exams
- Study Planner