Exercise
$\frac{cotx}{cos^2x}=\frac{2}{sin2x}$
Step-by-step Solution
Learn how to solve factorization problems step by step online. Prove the trigonometric identity cot(x)/(cos(x)^2)=2/sin(2x). Starting from the left-hand side (LHS) of the identity. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Divide fractions \frac{\frac{\cos\left(x\right)}{\sin\left(x\right)}}{\cos\left(x\right)^2} 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}. Simplify the fraction by \cos\left(x\right).
Prove the trigonometric identity cot(x)/(cos(x)^2)=2/sin(2x)
Final answer to the exercise
true