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qaws [65]
3 years ago
8

Find the value of x for the pair of acute angles that corresponds to the solution of the equation: sin(3x + 2) = cos(7x + 8).

Mathematics
1 answer:
True [87]3 years ago
3 0

Answer:

x = 8

Step-by-step explanation:

3x + 2 + 7x + 8 = 90

10x + 10 = 90

10x = 80

x = 8

Check:  3x + 2 = 3(8) + 2 = 26°

7x + 8 = 7(8) + 8 = 56 + 8 = 64°

sin 26 = cos 64

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Answer:

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Step-by-step explanation:

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gayaneshka [121]
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3 years ago
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4. (10 points) From the given triangle:
katrin2010 [14]

Answer:

sinθ =  y/r        sinθ = \frac{-6}{10} = \frac{-3}{5}

cosθ =  x/r       cosθ = \frac{8}{10} = \frac{4}{5}

tanθ =  y/x       tanθ =  \frac{-6}{8} =\frac{-3}{4}

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secθ =  r/x       secθ =  \frac{5}{4}

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explanation:

r = \sqrt{(8)^{2}+(-6)^{2}  }

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x = 8

y = -6

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