17. ?
1, 1+ tan’e
1 + cot’e
(1-tan
= tan20
1-cot o) -
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tanA1−cotA+cotA1−tanA=sinAcosA1−cosAsinA+cosAsinA1−sinAcosA
=sin2AcosA(sinA−cosA)+cos2AsinA(cosA−sinA)
=sin3A−cos3AcosAsinA(sinA−cosA)
=sin2A+cosAsinA+cos2AcosAsinA
=1+cosAsinAcosAsinA
=1+secAcscA.■
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