Question

Use identities to simplify

Answer 1

(B)

Step-by-step explanation:

`(\sec \beta + 1)(\tan \beta \csc \beta - 1)`

`=\left((1)/(\cos\beta) + 1 \right) \left((\sin \beta)/(\cos \beta) (1)/(\sin \beta) - 1 \right)`

`=\left((1)/(\cos\beta) + 1 \right) \left((1)/(\cos \beta) - 1 \right)`

`= \left((1)/(\cos^2 \beta) - 1 \right)`

`= \left((1 - \cos^2 \beta)/(\cos^2 \beta) \right)`

`= (\sin^2 \beta)/(\cos^2 \beta)`

`= \tan^2 \beta`