Exercise
$\cot a+\tan a=\frac{2\cos^2a-1}{\sin a\cdot\cos a}$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation cot(a)+tan(a)=(2cos(a)^2-1)/(sin(a)cos(a)). Simplify \sin\left(a\right)\cos\left(a\right) using the trigonometric identity: \sin(2x)=2\sin(x)\cos(x). Divide fractions \frac{2\cos\left(a\right)^2-1}{\frac{\sin\left(2a\right)}{2}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Multiply the single term 2 by each term of the polynomial \left(2\cos\left(a\right)^2-1\right). Move everything to the left hand side of the equation.
Solve the trigonometric equation cot(a)+tan(a)=(2cos(a)^2-1)/(sin(a)cos(a))
Final answer to the exercise
$a=0+\pi n,\:a=\pi+\pi n\:,\:\:n\in\Z$