If $secA=\frac{5}{4}$, then the value of $\frac{tanA}{1+tan^2A}-\frac{sinA}{secA}$ is:
Answer & explanation
Correct answer: option 3
secA = \(\frac{5}{4}\) = \(\frac{H}{B}\)
Using triplet ( 3 , 4 , 5) , We find that P = 3
Now , $\frac{tanA}{1+tan^2A}-\frac{sinA}{secA}$
= \(\frac{3/4}{1 + 9/16}\) - \(\frac{3 × 4 }{ 5 × 5}\)
= \(\frac{12}{25}\) - \(\frac{12 }{ 25}\)
= 0