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Find all real numbers in the interval [0,2pi) that satisfy the equation. 3sec^2xtanx=4tanx

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asked Nov 11, 2016 in TRIGONOMETRY by anonymous

1 Answer

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The trigonometric equation is .

Simplify the trigonometric equation.

Find all real number in the interval .

General solution: .

If  then image, where n is an integer.

General solution: image

If image, then image, where n is an integer.

General solution: image

If image, then image, where n is an integer.

All real solutions are

image

answered Nov 11, 2016 by Anney Mentor

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