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  • 14-11-2020
  • Mathematics
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3. Let sin 21 = 0.358. What is the value of x for cos x=0.358?

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xKelvin
xKelvin xKelvin
  • 14-11-2020

Answer:

[tex]\cos(69)[/tex]

Step-by-step explanation:

We will use the co-function identity for sine, where:

[tex]\sin(x)=\cos(90-x)[/tex]

Since sin(21)=0.358=cos(x). This means that:

[tex]21=90-x[/tex]

Solve for x. Add x to both sides:

[tex]x+21=90[/tex]

Subtract 21 from both sides:

[tex]x=69\textdegree[/tex]

Hence:

[tex]\sin(21)=\cos(69)\approx0.358[/tex]

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