First slide

Graphs of trigonometric functions in trigonometry

Question

$The values of x in which \sqrt{\sin x - \cos x} is defined in [0, 2 π]$

Easy

A

$[0, \frac{π}{4}]$
B

$[\frac{5 π}{4}, \frac{7 π}{4}]$
C

$[\frac{π}{4}, \frac{5 π}{4}]$
D

$[0, \frac{π}{2}]$

Solution

$from the graph sinx-cosx≥0 ∀ x \in [\frac{π}{4}, \frac{5 π}{4}]$

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