Question 169978
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Re-writing: {{{csc(-x)/sec(-x)=-cot(x)}}}
Via Reciprocal Identites: {{{csc(x)=1/sin(x)}}}; {{{sec(x)=1/cos(x)}}}
Subst. & becomes:
{{{(1/sin(-x))/(1/cos(-x))=-cot(x)}}}
{{{cos(-x)/sin(-x)=-cot(x)}}}
Via Quotient Identities: {{{cot(x)=cos(x)/sin(x)}}}
Subst. & becomes:
{{{cot(-x)=-cot(x)}}}
{{{highlight(-cot(x)=-cot(x))}}}
Thank you,
Jojo</pre>