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Popular >

expand ((sec(θ))(1+tan(θ)))/(sec(θ)+csc(θ))

Solution

expand

\frac{( sec ( θ ) ) ( 1 + tan ( θ ) )}{sec ( θ ) + csc ( θ )}

Solution

\frac{sec ( θ ) ( 1 + tan ( θ ) )}{sec ( θ ) + csc ( θ )}

Solution steps

\frac{( sec ( θ ) ) ( 1 + tan ( θ ) )}{sec ( θ ) + csc ( θ )}

Remove parentheses:

(a) = a

= \frac{sec ( θ ) ( 1 + tan ( θ ) )}{sec ( θ ) + csc ( θ )}

Expand

sec (θ) (1 + tan (θ)) : sec (θ) + sec (θ) tan (θ)

= \frac{sec ( θ ) + sec ( θ ) tan ( θ )}{sec ( θ ) + csc ( θ )}

Simplify

sec (θ) + sec (θ) tan (θ) : sec (θ) (tan (θ) + 1)

= \frac{sec ( θ ) ( tan ( θ ) + 1 )}{sec ( θ ) + csc ( θ )}

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Frequently Asked Questions (FAQ)

What is expand ((sec(θ))(1+tan(θ)))/(sec(θ)+csc(θ)) ?
The solution to expand ((sec(θ))(1+tan(θ)))/(sec(θ)+csc(θ)) is (sec(θ)(1+tan(θ)))/(sec(θ)+csc(θ))