How many solutions does (\sin x=\cos x) have in the interval (0\leq x<2\pi)?

From (\sin x=\cos x), we get (\tan x=1), so (x=\frac{\pi}{4},\frac{5\pi}{4}). In exams, check the given interval carefully.

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

Question

Answer and explanation

Correct answer: (2)

From (\sin x=\cos x), we get (\tan x=1), so (x=\frac{\pi}{4},\frac{5\pi}{4}). In exams, check the given interval carefully.

What is the correct answer to this question?

(2)

Why is this the correct answer?

From (\sin x=\cos x), we get (\tan x=1), so (x=\frac{\pi}{4},\frac{5\pi}{4}). In exams, check the given interval carefully.

Which subject and chapter does this question cover?

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