If tan(A+B) = -4 and tan B=5/3, find tan A.

The value of tan A = 1What are trigonometric ratios?Trigonometric ratios are the ratios of sides of a right-angle triangle. The six trigonometric ratios of a right angle triangle are Sin, Cos, Tan, Cosec, sec and cot.The trigonometric ratios relate the sides of the triangle with the angles of the triangle.tan(A+B) = -4, tan B = 5/3But tan(A + B) = [tex]\frac{tan A + tanB}{1-tanAtanB}[/tex]Substituting the values of tan(A +B) tan B-4 = [tex]\frac{tan A + 5/3}{1 - 5/3tanA}[/tex]multiply numerator and denominator by 3, you have-4 = [tex]\frac{3tanA + 5}{3 -5tanA}[/tex]-4(3-5tanA) = 3tanA +5-12 +20tanA = 3tanA +5collect like terms20tanA - 3tanA = 5 +1217tanA = 17tan A = 17/17tanA = 1In conclusion, the value of tanA = 1Learn more about trigonometric ratios: https://brainly.com/question/24349828#SPJ1