ohnoyolo48 ohnoyolo48
  • 10-06-2022
  • Mathematics
contestada

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

Respuesta :

loneguy
loneguy loneguy
  • 10-06-2022

Answer:

[tex]\theta = 41^{\circ}[/tex]

Step-by-step explanation:

[tex]~~~~~~~\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}[/tex]

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