Answered

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Express cos O as a fraction in simplest terms.

Express Cos O As A Fraction In Simplest Terms class=

Sagot :

Answer:

[tex]cos(O)=\frac{9}{41}[/tex]

Step-by-step explanation:

Recall that [tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex] in relation to the angle [tex]\theta[/tex].

We aren't given the hypotenuse, so we will use the two given side lengths to solve for the hypotenuse using the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

[tex]9^2+40^2=c^2[/tex]

[tex]81+1600=c^2[/tex]

[tex]1681=c^2[/tex]

[tex]41=c[/tex]

Therefore, [tex]cos(O)=\frac{9}{41}[/tex]

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