Answer:

Step-by-step explanation:
Given


Required

In trigonometry:

We need to solve for cosA, sinA and sinB
Given that:
and the tangent of an angle is a ratio of the opposite side (x) to the adjacent side (y),
So, we have:
and 
For this angle A, we need t calculate its hypotenuse (z).
Using Pythagoras,





From here, we can calculate sin and cos A
and 




To angle B.
Give that
and the cosine of an angle is a ratio of the adjacent side (a) to the hypotenuse side (c),
So, we have:
and 
For this angle B, we need to calculate its opposite (b).
Using Pythagoras,



Collect like terms




From here, we can calculate sin B



Recall that:
and




