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AraDiaNa
@AraDiaNa
July 2022
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Решите пожалуйста хотя бы 4 примерчика, буду благодарна!!!
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Amaimoon
9. √(x+8)=2
√(x+8)²=2²
x+8=4
x=-4
10. (2^√2)^√8 . (a^b)^c=(a)^bc
(2)^√16 = 2⁴ =16
11.a-1/√a-1 , разложим на множители числитель.
√a²-1²/(√a-1) = (√a-1)(√a+1)/(√a-1) = √a+1
12. (√a+1)/√a²-1² = (√a+1)/(√a-1)(√a+1)= 1/√a-1 = (√a-1)⁻¹
14. 1+cos2α/cosα = 1+(2cos²α-1)/cosα = 2cos²α/cosα = 2cosα
15. cos(π/4+x)=0
π/4+x=π/2+πn n∈Z
x=-π/4+(-1)ⁿ*π/2+πn ,n∈Z
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Answers & Comments
√(x+8)²=2²
x+8=4
x=-4
10. (2^√2)^√8 . (a^b)^c=(a)^bc
(2)^√16 = 2⁴ =16
11.a-1/√a-1 , разложим на множители числитель.
√a²-1²/(√a-1) = (√a-1)(√a+1)/(√a-1) = √a+1
12. (√a+1)/√a²-1² = (√a+1)/(√a-1)(√a+1)= 1/√a-1 = (√a-1)⁻¹
14. 1+cos2α/cosα = 1+(2cos²α-1)/cosα = 2cos²α/cosα = 2cosα
15. cos(π/4+x)=0
π/4+x=π/2+πn n∈Z
x=-π/4+(-1)ⁿ*π/2+πn ,n∈Z