Maths-
General
Easy

Question

# Statement-I : If  and  then Statement-II : If sinA = sinB and cosA = cosB, then

Hint:

## The correct answer is: Statement-I is True, Statement-II is False

### Here, we have to find the which statement is correct and if its correct explanation or not.Firstly,Statement-I:   and  then  ......(i) ..............(ii)dividing (i) by (ii)Again, sin A = sin B(∴A= nπ ± B accordingly n is even or odd integer)And cos A = cos B⇒ A = nπ ± B (n ∈ I)Therefore, statement-I is true,Now,Statement-II:  sinA = sinB and cosA = cosB, then Also, tanA = tanBtanA − tanB = 0tan(A−B) = 0A−B=nπ∴A=nπ+B (n∈I)Therefore, Statement-II is also true and correct explanation of Statement-I.Hence, the correct answer is Statement-I is true, Statement-II is true; Statement-II is NOT a correct explanation for Statement-I

In this question, we have to find the statements are the correct or not and statement 2 is correct explanation or not, is same as assertion and reason. Here, Start solving first Statement and try to prove it. Then solve the Statement-II.