trig

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I don't understand what to do after i convert everything into cos and sin.

Verify:
cosx(tanx+cotx)=cscx

  • trig -

    what you want to do is to show that using standard identities and algebraic manipulation, the left side can be made equal to the right side.

    cosx(tanx+cotx)

    change to sin,cos using trig identities
    cosx(sinx/cosx + cosx/sinx)

    now do some algebra
    cosx*sinx/cosx + cosx*cosx/sinx
    sinx + cos^2(x)/sinx
    sinx*sinx/sinx + cos^2(x)/sinx
    (sin^2(x) + cos^2(x))/sinx

    now apply standard trig identities
    1/sinx
    cscx

    ta-da!

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