Sa se rezolve ecuatia : subpunctul e)
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Răspuns:
Folosesti formula
arccosx=π/2-arcsinx
ecuatia devine
arcsinx*(π/2-arcsinx)=π²/16
0=arcsin²x-π/2*arcsinx+π²/16
arcsinx=y
y²-π/2y+π²/16=0
Δ=π²/4-4π²/16=0
y=π/4
arccosx=π/4
x=√2/2
Explicație pas cu pas: