5sinx2x-11sin^2 x+3=0

7cos2x-10sinx-3=0

Question

Математика

Никаха

10 февраля, 00:09

5sinx2x-11sin^2 x+3=0

7cos2x-10sinx-3=0

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Федул · Answer 1

7cos2x-10sinx-3=0

7 (cos^2x-sin^2x) - 10sinxs-3=0

7 (1-sin^2x) - 10sinx-3=0

14sin^2x+10sinx-4=0

sinx=t

14t^2+10t-4=0

t1=-1 t2=2/7

sinx=-1 = >x=-pi/2+2pi n

sinx=2/7 = >x = (-1) ^n arcsin2/7+pi n

5sinx2x-11sin^2 x+3=07cos2x-10sinx-3=0

5sinx2x-11sin^2 x+3=0

7cos2x-10sinx-3=0