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  • 10-03-2021
  • Mathematics
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solve for x.cos(2x+9)=sin(x)

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Аноним Аноним
  • 10-03-2021

Answer:

x=27

Step-by-step explanation:

cos and sin are complementary angles. There theta or x add up to 90 degree. Using the formula.

cos x=sin y where x+y=90 let set up the equation.

[tex] \cos(2x + 9) = \sin(x) [/tex]

[tex]2x + 9 + x = 90[/tex]

[tex]3x + 9 = 90[/tex]

[tex]3x = 81[/tex]

[tex]x = 27[/tex]

To check our identity plug x in the top equation

[tex] \cos(2 \times 27 + 9)) = \sin(27) [/tex]

[tex] \cos(63) = \sin(27) [/tex]

they both equal about 0.45 so it is true.

x=27

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