Question

cos(5x-П/4)=0 тригонометрия ​

Answer 1

$cos(5x-\frac{pi}{4} )=0\\ 5x-\frac{pi}{4} = \frac{pi}{2} + pi*n$

n ∈ Z

$5x = \frac{pi}{2} + pi*n +\frac{pi}{4} \\5x=\frac{3pi}{4} +pi*n\\x= \frac{3pi}{20} + \frac{pi*n}{5}$

n ∈ Z

Answer 2

$cos(5x-\frac{\pi }{4}) =0\\\\5x-\frac{\pi }{4}=\frac{\pi }{2}  +k\pi \\\\5x=\frac{\pi }{2}+\frac{\pi }{4} +k\pi \\\\5x=\frac{3\pi }{4} +k\pi \\\\x=\frac{3\pi }{20} +\frac{k\pi }{5}$