taliajohnsom3575 taliajohnsom3575
  • 25-02-2021
  • Mathematics
contestada

For an acute angle 0, the equation sin(0) = cos(6) is true. What is the value of ? Show or explain your answer

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MrRoyal
MrRoyal MrRoyal
  • 26-02-2021

Answer:

[tex]\theta =84[/tex]

Step-by-step explanation:

Given

[tex]sin(\theta) = cos(6)[/tex]

Required

Find [tex]\thata[/tex][tex]\theta[/tex]

In trigonometry:

If sin(A) = cos(B), then

[tex]A + B = 90[/tex]

So, we have:

[tex]\theta + 6 = 90[/tex]

Collect Like Terms

[tex]\theta + 6 -6= 90-6[/tex]

[tex]\theta = 90-6[/tex]

[tex]\theta =84[/tex]

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