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3 years ago

7

Use power reduction formula to rewrite the equation in terms of cosine: cos^2x sin^4 x

1 answer:

Mashutka [201]3 years ago

6 0

Cos^2(x) sin^4(x) = 1/2(1 + cos(2x)) * (1/2(1 - cos(2x))^2 = 1/2(1 + cos(2x)) * 1/4(1 - 2cos(2x) + cos^2(2x)) = 1/8(1 + cos(2x))(1 - 2cos(2x) + 1/2 + 1/2cos(4x)) = 1/16(1 + cos(2x))(3 - 2cos(2x) + cos(4x)) = 1/16(3 - 2cos(2x) + cos(4x) + 3cos(2x) - 2cos^2(2x) + cos(2x)cos(4x)) = 1/16(3 + cos(2x) + cos(4x) - (1 + cos(4x)) + 1/2cos(6x) + 1/2cos(2x)) = 1/32(4 + 3cos(2x) + cos(6x))

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Which values are solutions of the inequality 6 x + 4 < 22 ? Select two answers.

zubka84 [21]

Answer: D and E

Step-by-step explanation:

To find this answer we want to get x by itself in the equation.

6x + 4 < 22

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So according to this the value of x has to be less than 3.

You can check your answer by substituting the values in for x.

6(0) + 4 < 22

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6(2) + 4 < 22

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6(3) + 4 < 22

22 < 22 False!

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Hey there!

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$\boxed{\boxed{\bold{Answer:\frac{3}{8}\rightarrow\frac{2}{3}\rightarrow\frac{3}{4}}}}$ $\checkmark$

Good luck on your assignment and enjoy your day!

~ $\bold{LoveYourselfFirst:)}$

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Step-by-step explanation:

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