If A and B are acute angles such that tan A = cot B , then the value of A + B is:

Correct option is A

Given:

​$$\tan A = \cot B$$​​

A and B are acute angles.

Formula Used:

Relationship between tangent and cotangent:

​$$\cot B = \frac{1}{\tan B}$$​​

For acute angles, if $$\tan A = \frac{1}{\tan B},\ \ \ \ then \quad A + B = 90^\circ.$$​​

Solution:

$$\tan A = \frac{1}{\tan B}$$​​,  implies that A and B are complementary angles. So,

​$$A + B = 90^\circ$$​​

Thus, The value of A + B is 90°.