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romanna [79]
2 years ago
14

For an acute angle θ,the equation sin(49) =cos(θ) is true. what is your value of θ?​

Mathematics
1 answer:
o-na [289]2 years ago
3 0

Answer:

\theta = 41^{\circ}

Step-by-step explanation:

~~~~~~~\sin 49^{\circ} = \cos \theta\\\\\implies \theta = \cos^{-1}\left(\sin 49^{\circ} \right)\\\\\implies \theta = \cos^{-1} \left[\cos \left(90^{\circ} - 49 ^{\circ} \right) \right]\\\\\implies \theta= \cos^{-1}\left( \cos 41^{\circ}  \right)\\\\\implies \theta = 41^{\circ}

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