Math  /  Calculus

QuestionEvaluate the integral 0π/6sintcos2tdt\int_{0}^{\pi / 6} \frac{\sin t}{\cos ^{2} t} d t.

Studdy Solution
implify the fractions.
13/211=231\frac{1}{\sqrt{3}/2} - \frac{1}{1} =2\sqrt{3} -1So, the solution to the integral 0π/6sintcos2tdt\int_{0}^{\pi /6} \frac{\sin t}{\cos ^{2} t} d t is 2312\sqrt{3} -1.

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