math pre-calc h

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It says which expressiion is equivalent to
sec T + csc T / 1+tan T

a. sin t b. cos t c. tan t d. csc t

I'm not sure what to do first to find it out.

  • math pre-calc h -

    (sec T + csc T) / (1+tan T) -- notice the insertion of the necessary brackets
    = (1/cosT + 1/sinT)/(1 + sinT/cosT)
    = ( (sinT + cosT)/(sinTcosT) )/( (cosT+sinT)/cosT )
    = cosT/(sinTcosT)
    = 1/sinT
    = cscT

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