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Inessa [10]
3 years ago
8

If cos θ = 5/13, use the Pythagorean Identity to find sin θ.

Mathematics
1 answer:
emmainna [20.7K]3 years ago
6 0
Sin θ=sqrt(1-<span>cos^2 θ)
</span>sin θ=sqrt[1-(5/13)^2]
sin θ=sqrt[1-(5)^2/(13)^2]
sin θ=sqrt[1-25/169]
sin θ=sqrt[(169-25)/169]
sin θ=sqrt(144/169)
sin θ=sqrt(144)/sqrt(169)
sin θ=12/13

Answer: Second option 12/13
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5. Compare: <em><u>The result of step No. 2 </u></em>vs <em><u>The result of step No. 4</u></em>: = 24 vs \frac{243}{10} = \frac{24}{1} vs \frac{243}{10} = \frac{24*10}{1*10} vs \frac{243}{10} = \frac{240}{10} vs\frac{243}{10} = 240 vs 243 = No

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