Question

In this figure, sin(a) =  23

What is the value of cos(b) ? A) 13


B) 23
C) 23
D) 32 please help and show work if possible

Answer 1

`a` and
`b` are complementary, or
`b=\frac\pi2-a`. So


`\cos b=\cos\left(\frac\pi2-a\right)=\sin a`

and so
`\cos b=\frac23`.