Answer
Please refer to the step-by-step part below for the detailed solution.
Work Step by Step
RECALL:
(1) $\sec{\theta} = \dfrac{1}{\cos{\theta}}$
(2) $1 - \cos^2{\theta}=\sin^2{\theta}$
Use rule (1) above to obtain:
$1 - \dfrac{\cos{\theta}}{\frac{1}{\cos{\theta}}} = 1 -\cos{\theta} \cdot \dfrac{\cos{\theta}}{1}=1-\cos^2{\theta}$
Use rule (2) above to obtain:
$1-\cos^2{\theta} = \sin^2{\theta}$
Thus, the left side of the equation is equal to the right side of the equation.
The statement is true.