Solve each equation for x, where x in [0, 2pi].
a) sec x csc x - 2 csc x = 0
b) 3 sec ^2 x - 4 = 0
c) 2 sin x sec x - 2 square root of 3 sin x = 0
d) 2 cot x + sec^2 x = 0
e) cot x csc^2 x = 2 cot x
f) 3 tan^3 x - tan x = 0
(a) We would like to solve the equation for . First, we note that all terms contain , so we can take it as a common factor.
Now we can use the zero-factor property to find the values of .
But we know that , so the solution is refused.
But we know that , so we can use this identity in our equation.
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