![\cos(e ) \1 - \sin(e) + 1 - \sin(e) \ \cos(e) = 2 \sec(e) \cos(e ) \1 - \sin(e) + 1 - \sin(e) \ \cos(e) = 2 \sec(e)](https://tex.z-dn.net/?f=+%5Ccos%28e+%29++%5C1+-++%5Csin%28e%29++%2B+1+-++%5Csin%28e%29++%5C+%5Ccos%28e%29++%3D+2+%5Csec%28e%29+)
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Step-by-step explanation:
cose/1-sine + 1-sine/cose
=cos²e+(1-sine)²/cose(1-sine)
=cos²e+1+sin²e-2sine/cose(1-sine)
=2-2sine/cose(1-sine)
=2(1-sine)/cose(1-sine)
=2/cose
=2sece
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