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kicyunya [14]
4 years ago
13

Help me please! Only if you can!

Mathematics
1 answer:
VladimirAG [237]4 years ago
7 0

Answer:

Theta =  120 degrees, 420 degrees, 480 degrees, 780 degrees, and 840 degrees

60 + 360 = 420 degrees,  

60 + 720 = 780 degrees,  

120 + 360 = 480 degrees,

120 + 720 = 840 degrees

Step-by-step explanation:

90  to 870 degrees for theta.

sin (theta) = root(3) /2

We see this comes from a 30-60-90 triangle.

theta is 60 degrees

but we want theta from 90 to 870 degrees.

120 degrees works too.

so we try to find all the co-terminal angles to 60 and 120 degrees that satisfy the conditions.

60 + 360 = 420 degrees,  

60 + 720 = 780 degrees,  

120 + 360 = 480 degrees,

120 + 720 = 840 degrees

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