Final answer:
Given sin y = a/6 and tan y° = a/b, we determined that cos y° equals a/6b.
Step-by-step explanation:
The problem involves finding the value of cos y° given that sin y = a/6 and tan y° = a/b.
By definition, tan y° = sin y° / cos y°, so we can write tan y° as (a/6) / cos y°.
Substituting the given value for tan y°, we have:
a/b = (a/6) / cos y°.
By cross-multiplying, we get cos y° = a/6b.
To calculate the numerical value of cos y°, one must know the specific values of a and b.