1). (5-p)^2=25-10*p+p^2; 2).(4+k)^2=16+8*k+k^2.
1a) Sin(-45°) * tgП/3 + Cos(- 45°) * ctgП/6 = - 1/√2 * √3 + 1/√2 * √3 =
= - √3/√2 + √3/√2 = 0
б) (Cos540° - Sin840°) / (ctg5П/2 - tg(-9П/4)) = (Cos180° - Sin120°)/ (ctgП/2 +
+ tgП/4) = (- 1 - √3/2)/(0 + 1) = - (1 + √3/2)
2) (tg²a - Sin²a) * ( 1/Sin²a - 1) = tg²a * 1/Sin²a - tg²a - Sin²a * 1/Sin²a =
= 1/Cos²a - tg²a - 1 = (1 - Sin²a - Cos²a)/ Cos²a = [1 - (Sin²a + Cos²a)]/Cos²a=
= 0/Cos²a = 0
Log(2)x/log(2)8+log(2)x/log(2)√2=14
log(2)x/3+log(2)x/0,5=14
log(2)x/3+2log(2)x=14
log(2)x+6log(2)x=42
7log(2)x=42
log(2)x=42:7=6
x=2^6
x=64
Ответ х=64
log(3)x=a
a²-2a-3≤0
a1+a2=2 U a1*a2=-3⇒a=3 U a2=-1
+ _ +
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-1 3
-1≤a≤3
-1≤log(3)x≤3
1/3≤x≤27
x∈[1/3;27]