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glutynowy44

glutynowy44

Answered question

2022-07-14

If x ( 0 , π 2 ) then find a value of x in 3 2 sec x 2 csc x = 1

Answer & Explanation

wasipewelr

wasipewelr

Beginner2022-07-15Added 11 answers

Use sin x = 2 t 1 + t 2 and cos x = 1 t 2 1 + t 2 , where t = tan x 2 .
One of roots is 2 1 and the second is very ugly.
For tan x 2 = 2 1 we obtain x 2 = 22.5 + 180 k ,, where k Z ,
which gives x = π 4 .
The second root does not give solutions.

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