how do i solve 2tan^2xsinx-tan^2x=0

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02-01-2018
Mathematics

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how do i solve 2tan^2xsinx-tan^2x=0

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homeworkking77 homeworkking77 · Answer 1 · 2018-01-02T03:32:45+01:00

homeworkking77 homeworkking77

02-01-2018

2tan²xsinx - tan²x = 0
-------------------------
Transpose tan²x to the right side of the equation
2tan²xsinx = tan²x
-------------------------
Divide the whole equation with tan²x
tan²x will be cancelled out
tan²x ÷ tan²x = 1
2sinx = 1
sinx = 1/2
x = arcsin(1/2)
x = 30degrees or π/6

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