Using Identities of Inverse Operations

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Math › Using Identities of Inverse Operations

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$\textup{Which of the following expressions is equal to }\frac{\tan \theta }{\sec \theta }:\textup{?}$

$\sin\theta$

$\csc\theta$

$\frac{1}{\cos ^{2}\theta }$

$\cot\theta$

$\cos\theta$

$\textup{Use identities to solve: }\tan\theta=\frac{\sin \theta }{\cos \theta }:::::\sec\theta=\frac{1}{\cos \theta }$

$\frac{\tan \theta }{\sec \theta }=\frac{\sin \theta }{\cos \theta }\times\frac{\cos \theta }{1}=\sin\theta$