[tex]\bf tan(\theta )csc(\theta )cos(\theta )=1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{sin(\theta )}{cos(\theta )}\cdot \cfrac{1}{sin(\theta )}\cdot cos(\theta )\implies \cfrac{sin(\theta )}{sin(\theta )}\cdot \cfrac{cos(\theta )}{cos(\theta )}\implies 1\cdot 1\implies 1[/tex]