solve for : tan 2x + sec^2 2x -1 = 0
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tan 2x + sec^2 2x - 1 = 0
tan 2x + 1 + tan^2 2x -1 = 0
so,
tan^2 2x + tan 2x = 0
tan2x ( tan2x +1) = 0
So
tan 2x = 0 or tan 2x + 1 = 0
2x = mπ 2x = mπ - π/4
x = m*π/2 x = mπ/2 - π/8. for any m belonging to the set of integers.
tan 2x + 1 + tan^2 2x -1 = 0
so,
tan^2 2x + tan 2x = 0
tan2x ( tan2x +1) = 0
So
tan 2x = 0 or tan 2x + 1 = 0
2x = mπ 2x = mπ - π/4
x = m*π/2 x = mπ/2 - π/8. for any m belonging to the set of integers.
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