If 3 cot A = 4 tan A and A is an acute angle, then what will be the value of sec A ?
Answer & explanation
Correct answer: option 1
3 cotA = 4 tanA
cot²A = \(\frac{4}{3}\)
cotA = \(\frac{2}{√3}\)
{ We know, cotθ = \(\frac{B}{P}\) }
By using pythagoras theorem,
P² + B² = H²
3 + 4 = H²
H = √7
Now,
secA
= \(\frac{H}{B}\)
= \(\frac{√7 }{2}\)