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  • 24-04-2020
  • Mathematics
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solve the trigonometric equation

solve the trigonometric equation class=

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yarmoam yarmoam
  • 24-04-2020

Answer: x = 2[tex]\pi[/tex]n , x= [tex]\pi[/tex] + 2[tex]\pi[/tex]n (also see bottom)

Step-by-step explanation:

Add the 1 to both sides to get:

cos^2 (x) = 1

Square Root both sides to get:

cos (x) = ± 1

Solve for x:

cos(x) = 1

x = 2[tex]\pi[/tex]n

cos(x) = -1

x= [tex]\pi[/tex] + 2[tex]\pi[/tex]n

If the bounds of the problem are from 0 to 2pi,

The answers are 0, [tex]\pi[/tex], and 2[tex]\pi[/tex]

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