Answer:
steps below
Step-by-step explanation:
Trig property: if Sin A = Cos B, Sin A = Sin (π/2 - B)
sin(6x-10) = cos(4x+10)
sin (6x-10) = sin (π/2 - (4x+10))
6x-10 = π/2 - (4x+10) + 2nπ
6x-10 = π/2 - 4x - 10 + 2nπ
10x = (1+4n)/2 * π
[tex]x = \frac{(1+4n)\pi }{20} \\n=1 \\x = \frac{5\pi }{20} = \frac{1}{4} \pi \\n=2 \\x = \frac{9}{20} \pi \\.........[/tex]
or x = 45° , 81°, 117° .......
