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=

Sagot :

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.