Question

Directions : In the following Questions, A statement of Assertion (A) is followed by A statement of reason (R ). Mark the correct option as:

Assertion(A) : The value of $\frac{\tan 47°}{cot43°}$ is 1.

Reason(R) : The value of the expression (sin80°- cos80°) is negative.

• A.
  Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
• B.
  Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
• C. Assertion (A) is false but reason (R) is true.
• D.
  Assertion (A) is true but reason (R) is false.

Answer 1

The correct option is D

Assertion (A) is true but reason (R) is false.

$\frac{\tan 47°}{cot43°}$$\frac{\tan 47°}{cot(90-47°)}$
$\frac{\tan 47°}{\tan 47°}=1$Therefore Assertion (A) is correct

80°is near to 90°, sin 90° = 1 and cos 90° = 0

So, the given expression sin 80°- cos 80° > 0

So, the value of the expression is positive.

∴ Reason (R) is incorrect.

Hence Assertion (A) is correct but Reason (R) is incorrect.