How do you find the general solutions for #sqrt3 cscx-2=0#?

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How do you find the general solutions for #sqrt3 cscx-2=0#?

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Answer 1 · 2015-08-26T17:48:02

Solve: #sqrt3csc x - 2 = 0#

Explanation:

#sqrt3/sin x - 2 = 0#
#sqrt3 - 2sin x = 0# (Condition: sin x not zero, x not o or #pi#)
#sin x = sqrt3/2#.
Trig table gives --> #x = pi/3# and #x = (2pi)/3#

General solutions:
#x = pi/3 + 2kpi#
#x = (2pi)/3 + 2kpi#

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How do you find the general solutions for #sqrt3 cscx-2=0#?

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