SOLUTION: find to the nearest 0.1 degrees for 0degrees<theta<360: sin theta=-0.616 and tan theta >0

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Question 1085085: find to the nearest 0.1 degrees for 0degrees sin theta=-0.616 and tan theta >0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If sin%28x%29%3C0 and tan%28x%29%3E0 then cos%28x%29%3C0.
So,
sin%28x%29%5E2%2Bcos%5E2%28x%29=1
%28-0.616%29%5E2%2Bcos%5E2%28x%29=1
0.379456%2Bcos%5E2%28x%29=1
cos%5E2%28x%29=0.620544
cos%28x%29=0+%2B-+0.7877
From above,
cos%28x%29=-0.7877