How do you simplify the expression $sec t cot t - cot t cos t$ $sectcott-cottcost$ ?

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Answer 1 · 2016-09-26T10:40:56

$sec t cot t - cot t cos t = sin t$ $sectcott-cottcost=sint$

$sec t cot t - cot t cos t$ $sectcott-cottcost$

= $\frac{1}{cos t} \times \frac{cos t}{sin t} - \frac{cos t}{sin t} \times cos t$ $1/costxxcost/sint-cost/sintxxcost$

= $\frac{1}{sin t} - \frac{{cos}^{2} t}{sin t}$ $1/sint-cos^2t/sint$

= $\frac{1 - {cos}^{2} t}{sin t}$ $(1-cos^2t)/sint$

= $\frac{{sin}^{2} t}{sin t}$ $sin^2t/sint$

= $sin t$ $sint$

How do you simplify the expression sectcott−cottcostsectcott-cottcost?