If (\sin \theta+\cos \theta=\sqrt{2}) and (0<\theta<\frac{\pi}{2}), what is the value of (\theta)?

In the first quadrant, the maximum of ( \sin \theta+\cos \theta) is ( \sqrt{2}) at ( \theta=\frac{\pi}{4}). In exams use symmetry.

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.

Question

Answer and explanation

Correct answer: (\frac{\pi}{4})

In the first quadrant, the maximum of ( \sin \theta+\cos \theta) is ( \sqrt{2}) at ( \theta=\frac{\pi}{4}). In exams use symmetry.

What is the correct answer to this question?

(\frac{\pi}{4})

Why is this the correct answer?

In the first quadrant, the maximum of ( \sin \theta+\cos \theta) is ( \sqrt{2}) at ( \theta=\frac{\pi}{4}). In exams use symmetry.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.