Question #eac46

Question

995 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-01T15:59:19

From trigonometric identities,

$cottheta = 1/tantheta$

so

$tanthetacottheta = 1$

This means you can rearrange the original equation as

$(tanthetacottheta)/csctheta = 1/csctheta$

Trig identities also tell us that

$csctheta = 1/sintheta$

so we can rearrange again to say that

$1/csctheta = 1/(1/sintheta) = sintheta$