JalexiM548321 JalexiM548321
  • 03-11-2022
  • Mathematics
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Given sine of theta equals 3 over 5 and cosine of theta equals 4 over 5 which of the following can be proven using a Pythagorean identity?

Given sine of theta equals 3 over 5 and cosine of theta equals 4 over 5 which of the following can be proven using a Pythagorean identity class=

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SequoiaC633715 SequoiaC633715
  • 03-11-2022

The pythagorean theorem is

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

Note that in unit circle, the radius is 1 and it also represents the hypotenuse in a right triangle.

From the problem :

[tex]\sin \theta=\frac{3}{5}\quad \cos \theta=\frac{4}{5}[/tex]

This will be the a and b in the pythagorean theorem.

It will be :

[tex](\frac{3}{5})^2+(\frac{4}{5})^2=1[/tex]

The answer is B.

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