Question

What is the value of x?

sin 49° = cos x

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Answer 1

sin θ = cos(90° − θ), so cos x = cos 41°. Thus x = 41° (principal).

(General solutions: x = 41° + 360k or x = −41° + 360k, e.g. in [0°,360°) x = 41° or 319°.)