SOLUTION: Find all values of x in the interval (0, 2pi) that satisfy the condition: ((csc^2)x)-1=4 (cos^2x)

SOLUTION: Find all values of x in the interval (0, 2pi) that satisfy the condition: ((csc^2)x)-1=4 (cos^2x)

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Question 941687: Find all values of x in the interval (0, 2pi) that satisfy the condition:
((csc^2)x)-1=4 (cos^2x)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find all values of x in the interval (0, 2pi) that satisfy the condition:
((csc^2)x)-1=4 (cos^2x)
***

lcd:sin^2(x)

(4sin^2(x)-1)(sin^2(x)-1)=0
..
4sin^2(x)-1=0
sin^2(x)=1/4
sin(x)=�1/2
x=π/6,5π/6,7π/6,11π/6
or
sin^2(x)=1
sin(x)=�1
x=π/2,3π/2

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