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Damion Hardin

Damion Hardin

Answered question

2022-05-09

Solve the equation 1 ( cos θ ) 2 = 2 3 tan θ 2

Answer & Explanation

rynosluv101swv2s

rynosluv101swv2s

Beginner2022-05-10Added 19 answers

Your equation can be written as
1 cos 2 ( x ) =
1 + tan 2 ( x ) = 2 3 tan ( x ) 2
or
tan 2 ( x ) 2 3 tan ( x ) + 3 = 0
the reduced discriminant is
δ = 3 3 = 0
thus, there is one solution given by
tan ( x ) = 3 which gives
x = π 3 .

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