Question

Please help:

In a right triangle ABC, tan(A) = 3/4. Find sin(A) and cos(A).
In a right triangle ABC with angle A equal to 90 degrees, find angle B and C so that sin(B) = cos(B).

Answer 1

Tan is equal to sin over cosine so if this is all the info you are given sin.is 3 and cosine is 4. However it is possible term cancel out like sin could be 3/5 and cosine 4/5 which would still give tan 3/4. Actually that is probably what it is to make a 3 4 5 triangle.
To make sine and cos equal the opposite and adjacent sides must be equal. By corresponding angles it is isosceles so b and c must be 45