Упростить: [latex] \frac{sin2t}{cost} -sint[/latex]

[latex]\frac{sin2t}{cost}-sint=\frac{sin2t-sint\cdot cost}{cost}=[\, sin2t=2\cdot sint\cdot cost\, ]=\\\\=\frac{2sint\cdot cost-sint\cdot cost}{cost}=\frac{sint\cdot cost}{cost}=sint[/latex]