(sin(180-5)+sin(90-5))/(cos(180-5)-cos(90-5))=(sin5+cos5)/(-cos5-sin5)=-1
1
log(2)m+log(2)n=9+5=14
2
log(3)m-log(3)9-log(3)n=13-2-7=4
3
3/5*log(5)b=0,6*(-2)=-1,2
4
-1/4*log(9)m=-1/4*(-4)=1
5
25^(1/2log(81)5)=25^1/log(81)25)=25^log(25)81=81
6
1/4*(1/2)^log(1/2)14=1/4*14=3,5
2) 2sin60+sin90 = 2*√3/2 + 1 = √3+1.
3)cos П/4- sinП/4 = √2/2 - √2/2 = 0.
4)sin П/2- cos П = 1-(-1) = 2.
5)1+ cos^2a/sin^2a = 1 + ctg²α.
6)1-sin^2a/cos^2a = 1 - tg²α.
7)cos10(градус.)*sin15(градус.) = <span><span><span>
0,984808 *0,258819 =
</span><span>
0,254887.
</span></span></span>8)tg100(градус.)*cos205(градус.) = -ctg 10° * (-cos25°) =
= cos 25° / tg 10° = <span><span><span>
0,906308 / 0,176327 = </span><span>5,139927.
</span></span></span>9)sin 225(градус.) = -sin 45° = -√2/2.
10)cos 4П/3 = cos 240° = -cos 60° = -0,5.
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