Question

If secA = 5/4. Verify that tanA/1+tan²A = sinA/secA

Answer 1

Step-by-step explanation:

$\frac{tan \: a}{1 + {tan}^{2}a } = \frac{tan \: a}{ {sec}^{2}a } \\ = \frac{ \frac{sin \: a}{cos \: a} }{ {sec}^{2}a } = \frac{sin \: a}{ {sec}^{2}a. \: cos \: a } \\ = \frac{sin \: a}{sec \: a}$