SOLUTION: Please solve this equation and show me the work. I am stumped on this one. the square root of 3 times the csc of x minus 2 times the cot of x equals 0

Algebra ->  Trigonometry-basics -> SOLUTION: Please solve this equation and show me the work. I am stumped on this one. the square root of 3 times the csc of x minus 2 times the cot of x equals 0      Log On


   

Question 606835: Please solve this equation and show me the work. I am stumped on this one.
the square root of 3 times the csc of x minus 2 times the cot of x equals 0
Found 2 solutions by solver91311, lwsshak3:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Cosecant is the reciprocal of the sine and cotangent, being the reciprocal of tangent is cosine over sine, so:



Multiply by then solve for





or




John

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Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Please solve this equation and show me the work. I am stumped on this one.
the square root of 3 times the csc of x minus 2 times the cot of x equals 0
**
for x:(0, π/2)
√3csc-2cot=0
√3/sin-2cos/sin=0
(√3-2cos)/sin=0
√3-2cos=0
2cos=√3
cosx=√3/2
x=π/6