Question

If tanA =3cotA show that secA=2

Answer 1

Answer:

Let A = x.

$tanx \: = 3cotx \\ tanx \: = \frac{3}{tanx} \\ {tan}^{2} x \: = 3 \\ {sec}^{2} x \: - 1 = 3 \\ {sec}^{2} x \: = 4 \\ secx \: = 2$