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Step-by-step explanation:
=>Tan theta/1-Cot theta + Cot theta/ 1-Tan theta
=>Sin theta /Cos theta/1- Cos theta/ Sin theta + Cos theta/1-Sin theta / Cos theta
=>Sin theta/Cos theta ×Sin theta/Sin theta -Cos theta + Cos theta/Sin theta ×Cos theta/Cos theta-Sin theta
=>Sin^3theta-Cos^3theta/Sintheta×Cos theta-Sin theta×Cos theta
=>(Sin theta-Cos theta)(Sin^2theta +Cos^2theta+Sin theta×Cos theta)/(Sin theta×Cos theta)×(Sin theta-Cos theta)
=>Sin^2theta+Cos^2 theta +Sin theta×Cos theta/Sin theta×Cos theta
=>1/Sin theta×Cos theta +Sin theta×Cos theta/Sin theta ×Cos theta
=>1+Sec theta×Cosec theta
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