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Applying the tangent identity: $\displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}$
Learn how to solve trigonometric integrals problems step by step online.
$\frac{\frac{\sin\left(t\right)}{\cos\left(t\right)}+\cot\left(t\right)}{\cot\left(t\right)}$
Learn how to solve trigonometric integrals problems step by step online. Factor the expression (tan(t)+cot(t))/cot(t). Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Combine \frac{\sin\left(t\right)}{\cos\left(t\right)}+\cot\left(t\right) in a single fraction. Divide fractions \frac{\frac{\sin\left(t\right)+\cot\left(t\right)\cos\left(t\right)}{\cos\left(t\right)}}{\cot\left(t\right)} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}.