What is expand sec(θ)(sec(θ)+6) ?

The solution to expand sec(θ)(sec(θ)+6) is sec^2(θ)+6sec(θ)

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expand sec(θ)(sec(θ)+6)

expand

sec (θ) (sec (θ) + 6)

sec^{2} (θ) + 6 sec (θ)

Solution steps

sec (θ) (sec (θ) + 6)

Apply the distributive law:

a (b + c) = ab + a c

sec (θ) (sec (θ) + 6) = sec (θ) sec (θ) + sec (θ) \cdot 6

= sec (θ) sec (θ) + sec (θ) \cdot 6

Simplify

sec (θ) sec (θ) + sec (θ) \cdot 6 : sec^{2} (θ) + 6 sec (θ)

= sec^{2} (θ) + 6 sec (θ)

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What is expand sec(θ)(sec(θ)+6) ?
The solution to expand sec(θ)(sec(θ)+6) is sec^2(θ)+6sec(θ)