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kakasveta [241]
3 years ago
9

Proof sin^3xcos^4x=sinx(cos^4x-cos^6x)

Mathematics
1 answer:
Alina [70]3 years ago
8 0
Sin³(x)cos⁴(x) = sin(x)[cos⁴(x) - cos⁶(x)]
      sin(x)                         sin(x)
sin²(x)cos⁴(x) = cos⁴(x) - cos⁶(x)
sin²(x)cos⁴(x) = cos⁴(x)[1] - cos⁴(x)[cos²(x)]
sin²(x)cos⁴(x) = cos⁴(x)[1 - cos²(x)}
     cos⁴(x)                  cos⁴(x)
           sin²(x) = 1 - cos²(x)
       + cos²(x)      + cos²(x)
                    1 = 1
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What is greater 0.13 or 13.5%?
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Answer:13.5% is greater than 0.13

Step-by-step explanation:

0.13 or 13.5% which is greater

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0.13 or 0.135 which is greater

0.135 is greater which means 13.5% is greater

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4 years ago
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Solve nonhomogenous equation: x"+4x=cost
motikmotik

Answer:

x(t) = Acos 2t + B sin 2t+\frac{cost}{3}

Step-by-step explanation:

Given is a non homogeneous second degree equation as

x"+4x=cost

Auxialary equation is

m^2+4 =0\\m = 2i, -2i

Hence general solution is

x = Acos 2t + B sin 2t

Particular integral is = \frac{cost}{D^2+4}

Since t has coefficient 1, we substitute

D^2 =-1\\PI = \frac{cost}{-1+4} =\frac{cost}{3}

Hence full solution is

x(t) = Acos 2t + B sin 2t+\frac{cost}{3}

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3 years ago
Find the<br> quotient for 12 2/5 / 1/4
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8 0
2 years ago
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gladu [14]

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