2)<span>sin(П-x)-cos(П/2+x)=√3</span>
<span> sinx+sinx=√3</span>
<span> 2sinx=√3</span>
<span> sinx=√3/2</span>
<span> x=п/3+2пk</span>
<span>
</span>
<span>3)-cosx=<span>-cosx</span></span>
<span><span> -cosx=1</span></span>
<span><span> x=п+2пk</span></span>
<span><span>
</span></span>
<span><span>4)3cosx-2sinxcosx=0</span></span>
<span><span> cosx(3-2sinx)=0</span></span>
<span><span> cosx=0 или sinx=-3/2 не имеет решений</span></span>
<span><span> x=п/2+пn</span></span>
<span><span>
</span></span>
<span><span>5)sin2x=0.5</span></span>
<span><span> 2x=п/6+пk</span></span>
<span><span> x=п/12+пk/2</span></span>
<span><span>
</span></span>
<span><span>6)<span>cos²x=1+sin²x </span></span></span>
<span><span><span> cos²x-sin²2x =1</span></span></span>
<span><span><span> cos2x=1</span></span></span>
<span><span><span> 2x=2пn</span></span></span>
<span><span><span> x=пn</span></span></span>
<span><span><span>
</span></span></span>
<span><span><span>7)sin4x=0</span></span></span>
<span><span><span> 4x=пn</span></span></span>
<span><span><span> x=пn/4+пk/2</span></span></span>