Question

4. If tan A=2/3 and tanB =1/5 then A+B​

Answer 1

Answer:

1/4

Step-by-step explanation:

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Answer 2

Concept:

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Trigonometric functions are: sine, cosine, cosecant, secant, tangent and cotangent.

Given:

We are given that:

tan A=2/3 and tan B=1/5

Find:

We need to find the value of A+B.

Solution:

We will do this by using the trigonometric identity:

$tan (A+B)=\frac{tan A +tan B}{1-tan A tan B}$

Substituting the values of tan A and tan B we get:

$tan (A+B)=\frac{2/3+1/5}{1-2/3*1/5}\\\\ tan (A+B)=\frac{13/15}{13/15}$

Solving the equation, we get:

tan(A+B)=1

Taking tan to the other side:

A+B=$tan^{-1}$(1)

Solving to get the value of A+B:

A+B=π/4.

Therefore, we get that the value of A+B is π/4 when tan A=2/3 and tan B =1/5.

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