Question

In: Math

Which expression is equivalent to secαcos(2α) for all values of α for which secαcos(2α) is defined?...

Which expression is equivalent to secαcos(2α) for all values of α for which secαcos(2α) is defined?

Select the correct answer below:

21−tan2α

2cos2α

2sin2α

2cosα−secα

1−tan2α

Solutions

Expert Solution

sec cos ( 2 )

cos ( 2 ) = 2 cos^2 - 1

sec = 1 / cos

so we get

1 / cos ( 2 cos^2 - 1)

1/ cos * 2 cos^2 - 1/ cos

2 cos - 1/ cos

2 cos - sec

2 cos - sec

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