Question

The interval in which the \(f(x) = sinx-cosx, 0 ≤ x ≤ 2π\) is strictly decreasing is :

• A. \((\frac{π}{4},\frac{5π}{4})\)
• B. \((0,\frac{π}{4})∪(\frac{5π}{4},2π)\)
• C. \((\frac{3π}{4},\frac{7π}{4})\)
• D. \((0,\frac{3π}{4})∪(\frac{7π}{4},2π)\)

Answer 1

The Correct Option is C

The correct option is (C):

\((\frac{3π}{4},\frac{7π}{4})\)