SOLUTION: if A lies in the second quadrant and 3tan A +4=0 then the value of 2 cot A-5 cos A+sin A is equal to?

Question 752229: if A lies in the second quadrant and 3tan A +4=0 then the value of 2 cot A-5 cos A+sin A is equal to?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
if A lies in the second quadrant and 3tan A +4=0 then the value of 2 cot A-5 cos A+sin A is equal to?
***
3tanA+4=0
tanA=-4/3
Working with a 3-4-5 reference right triangle in Q2
cotA=-3/4
cosA=-3/5
sinA=4/5
..
2 cot A-5 cos A+sin A
=2(-3/4)-5(-3/5)+4/5
=-6/4+3+4/5
=-3/2+3+4/5
=-15/10+30/10+8/10
=23/10
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