Given, A and B are complementary angles, and cos A =2/5 , what is tan B?

Given, A and B are complementary angles, and cos A =2/5…

Given, A and B are complementary angles, and $\cos A =\frac{2}{5}$ , what is tan B?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. $2\over\sqrt{21}$ .

Given, $\cos A =\frac{2}{5}$

Now, B = 2 and H = 5

So, P = $\sqrt{21}$

A and B are complementary angles

Hence tanB = $2\over\sqrt{21}$