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Butoxors [25]
3 years ago
7

Sec2x= ____. select all that apply

Mathematics
1 answer:
alexira [117]3 years ago
4 0
The best way to solve such questions is to simplify the options and see what they result in:

Simplifying 1st option:
\frac{1}{ cos^{2}x - sin^{2}x }= \frac{1}{cos(2x)}=sec(2x)


Simplifying 2nd option:
\frac{1}{1- 2sin^{2}x } = \frac{1}{cos(2x)}=sec(2x)

Simplifying 3rd option:
\frac{1}{ sin^{2}x - cos^{2}x } =  \frac{1}{-cos(2x)} =-sec(2x)

Simplifying 4th option:
\frac{1}{2 sin^{2}x }=  \frac{ cosec^{2}x }{2}

So only first two option are the correct ones as they simplify to sec(2x).
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