alpha+beta=22/7/2 and sin alpha=1/3 then what is sin beta

4 answers

so, what does 22/7/2 mean?
I think 22/7 is the approximation we used for π in the "olden days"

so a + b = π/2 or a and b are complementary angles

Construct a right angled triangles with angles a and b along with the right angle
since sina = 1/3, the missing side is √8 by Pythagoras
and sinb = √8/3 or 2√2/3
Hmph. Musta missed that. Using 22/7 for pi is just not rational!
"Using 22/7 for pi is just not rational! "

good one, they were selling t-shirts with that slogan to the math-nerds
at our University of Waterloo a few years back.