Question #eac46

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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#