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

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}](https://tex.z-dn.net/?f=~~~~~~~%5Csin%2049%5E%7B%5Ccirc%7D%20%3D%20%5Ccos%20%5Ctheta%5C%5C%5C%5C%5Cimplies%20%5Ctheta%20%3D%20%5Ccos%5E%7B-1%7D%5Cleft%28%5Csin%2049%5E%7B%5Ccirc%7D%20%5Cright%29%5C%5C%5C%5C%5Cimplies%20%5Ctheta%20%3D%20%5Ccos%5E%7B-1%7D%20%5Cleft%5B%5Ccos%20%5Cleft%2890%5E%7B%5Ccirc%7D%20-%2049%20%5E%7B%5Ccirc%7D%20%5Cright%29%20%5Cright%5D%5C%5C%5C%5C%5Cimplies%20%5Ctheta%3D%20%5Ccos%5E%7B-1%7D%5Cleft%28%20%5Ccos%2041%5E%7B%5Ccirc%7D%20%20%5Cright%29%5C%5C%5C%5C%5Cimplies%20%5Ctheta%20%3D%2041%5E%7B%5Ccirc%7D)
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slope =
or -0.5
9514 1404 393
Answer:
correct choice is marked
Step-by-step explanation:
The error is in step 2. The square root cannot be distributed to a sum.