Based on the given triangle, tan(B) as a fraction in its simplest form is 3/4. Option 1 (None of the listed answers are correct)
How to calculate angle in a triangle
In a right-angled triangle ABC, where the adjacent side (AC) is 4, the opposite side (BC) is 3, and the hypotenuse side (AB) is 5, use the tangent function to find the value of tan(B).
The tangent function is defined as the ratio of the opposite side to the adjacent side:
tan(B) = BC / AC
tan(B) = 3 / 4
To express tan(B) as a fraction in simplest form, simplify the ratio by dividing both the numerator and denominator by their greatest common divisor, which in this case is 1:
tan(B) = 3 / 4
Therefore, tan(B) is already in its simplest form as the fraction 3/4.