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solve sinx=cosx
solve the equation

sin x=cos x
(sin x) / (cos x) = (cos x) / (cos x)
(sin x) / (cos x) = 1

(sin x) / (cos x) = tan x
Therefore, tan x = 1

We get the angle using the arctangent function.

arctangent 1 = 45 degrees

sin 45 = 0.7071067
cos 45 = 0.7071067

x is 45 degrees
by Level 11 User (78.4k points)

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