Question

Suppose you prove the identity cot θ = csc θ/sec θ by working only on the right side of the equation. What would the final step look like?

Answer 1

use \(\csc \theta=\frac 1{\sin\theta}\)
and \(\sec\theta=\frac{1}{\cos\theta}\)

Answer 2

\[\huge{cot\theta=\frac{csc\theta}{sec\theta}}\]
\[\huge{cot\theta=\frac{1}{sin\theta}*cos\theta}\]
\[\huge{cot\theta=\frac{cos\theta}{sin\theta}}\]

Answer 3

\[\huge{\color{violet}{\textbf{hence proved}}}\]

Answer 4

the final step would be \[\cot \theta=\frac 1{\tan \theta}\]

Answer 5

yes @UnkleRhaukus is right^_^