Question

simplify
tan theta * cot theta

Answer 1

\[\frac{ sinx }{ cosx }*\frac{ cosx }{ sinx }\]

Answer 2

tangent and cotangent are inverses of each other. So...

\[\tan(\theta) * \frac{ 1 }{ \tan(\theta) } = 1\]

Answer 3

it's the same as \[2*\frac{ 1 }{ 2 }\]
they're inverses

Answer 4

Do your hw got it

Answer 5

thank you!

Answer 6

yes, I do

Answer 7

@DoYourHomework @Luigi0210 actually tangent and cotangent are reciprocals of each other. they are also multiplicative inverses of each other (another name for reciprocal) but IMO better not to call them inverses (without the "multiplicative" modifier) because they are not inverse functions.

Answer 8

Thank you for the correction

Answer 9

Ah! Yes, this is very true!

Answer 10

@whpalmer4 what is IMO?