If sin Θ = 12 over 37, use the Pythagorean Identity to find cos Θ?

a. cos Θ = ± 35 over 37

Answer 1

sin(x) = 12/37
sin^2(x) + cos^2(x) = 1
==> cos^2(x) = 1-sin^2(x)
==> cos^2(x) = 1 – 144/1369 =1225/1369
==> cos(x) = +/- √(1225/1369) = +/- 35/37

Leave a Comment