Question
Statement-I : If 
and 
then 
Statement-II : If sinA = sinB and cosA = cosB, then 
- Statement-I is True, Statement-II is True; Statement-II is a correct explanation for Statement-I.
- Statement-I is True, Statement-II is True; Statement-II is NOT a correct explanation for Statement-I
- Statement-I is True, Statement-II is False
- Statement-I is False, Statement-II is True
Hint:
In this question, given two statements. It is like assertion and reason. Statement1 is assertion and statement 2 is reason, Find the statement 1 is correct or not and the statement 2 correct or not if correct then is its correct explanation.
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 = tanB
tanA − tanB = 0
tan(A−B) = 0
A−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.
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if
if
if
if
if
if
if
if
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if
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