**Trigonometric Ratios CBSE NCERT Solutions Chapter 8 Exercise 8.2 Question 3**

**3.** If tan (A+B) = and tan(A-B) = ; O (A+B), find A and B.

You can check **here** values of six trigonometric ratios **(sin, cos, tan, sec, cot and cosec)** for **0, 30, 45, 60 and 90** degrees. You can also learn from this article about how to memorize all the values in an easy way.

**Solution:**

It is given that tan(A+B) = because tan 60

**(1)**

It is also given that tan(A-B) =

because tan 30 **(2)**

Adding **(1)** and **(2)**, we get

2A = 90

Putting value of A in **(1), **we get

45 + B = 60

Therefore, **A = 45 and B = 15**