Question
If theta is an acute angle of a right triangle and cos theta equals 3/8, what is the value of csc theta?
Answers
Reiny
recall that sin^2 Ø + cos^2 Ø = 1
so
sin^2 Ø + 9/64= 1
sin^2Ø = 55/64
sinØ = √55/8
then cscØ = 8/√55
or 8√55/55
so
sin^2 Ø + 9/64= 1
sin^2Ø = 55/64
sinØ = √55/8
then cscØ = 8/√55
or 8√55/55