If sin θ = \(\frac{3}{11}\), then what is the value of cotθ ?
Answer & explanation
Correct answer: option 3
We are given that ,
sinθ = \(\frac{3}{11}\)
{ we know, sinA = \(\frac{P}{H}\) }
By using pythagoras theorem,
P² + B² = H²
3² + B² = 11²
B² = 121 - 9 = 112
B = 4√7
Now,
cotθ
= \(\frac{B}{P}\)
= \(\frac{4√7}{3}\)