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Mathematics 20 Online
OpenStudy (anonymous):

Simplify cos2 θ(1 + tan2 θ)

OpenStudy (welshfella):

sorry thats tan 2O = sin 2O / cos 2O

OpenStudy (anonymous):

yes ok

OpenStudy (welshfella):

Oh hold on is that cos two theta or cos theta squared?

OpenStudy (anonymous):

cos squared theta

OpenStudy (welshfella):

right so we have cos^2 θ ( 1 + sin^2 θ / cos^2 θ) = cos^2 θ + sin^2 θ = ?

OpenStudy (welshfella):

do you know that last identity?

OpenStudy (anonymous):

tan 2 theta?

OpenStudy (welshfella):

cos squared theta + sin squared theta = ?

OpenStudy (anonymous):

it equals 1

OpenStudy (welshfella):

? = some number

OpenStudy (anonymous):

1

OpenStudy (welshfella):

right thats it

OpenStudy (welshfella):

- couldn't be much simpler than 1

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