(Sec[θ] Csc[θ])/(Tan[θ] Cot[θ])
i believe the ans is (1)/(sin theta cos theta). however, can someone show each step because i'm getting lost in the division part. thankyou
(Sec[θ] Csc[θ])/(Tan[θ] Cot[θ])
i believe the ans is (1)/(sin theta cos theta). however, can someone show each step because i'm getting lost in the division part. thankyou
$\displaystyle \displaystyle \frac{\sec{\theta}\csc{\theta}}{\tan{\theta}\cot{\ theta}} = \frac{\frac{1}{\cos{\theta}}\,\frac{1}{\sin{\theta }}}{\frac{\sin{\theta}}{\cos{\theta}}\,\frac{\cos{ \theta}}{\sin{\theta}}}$
$\displaystyle \displaystyle = \frac{\frac{1}{\sin{\theta}\cos{\theta}}}{1}$
$\displaystyle \displaystyle = \frac{1}{\sin{\theta}\cos{\theta}}$.