Question

\(\frac {Sin \theta }{Cos \theta}\) equals to ______

(a) tan θ

(b) cot θ

(c) cosec θ

(d) sec θ

The question was asked in homework.

My question is from Trigonometric Ratios in section Trigonometry of Mathematics – Class 10

Answer 1

Correct answer is (a) tan θ

For explanation I would say: Sin θ = \(\frac {Length \, of \, opposite \, side \, of \, the \, triangle}{Length \, of \, hypotenuse \, of \, the \, triangle}\)

Cos θ = \(\frac {Length \, of \, adjacent \, side \, of \, the \, triangle}{Length \, of \, hypotenuse \, of \, the \, triangle}\)

\(\frac {Sin \theta }{Cos \theta} = \frac {Length \, of \, opposite \, side \, of \, the \, triangle}{Length \, of \, adjacent \, of \, the \, triangle}\)

= Tan θ