Solving: $\sin\left(x\right)\left(\cot\left(x\right)+\tan\left(x\right)\right)=\sec\left(x\right)$
Exercise
$\sin\left(\cot+\tan\right)=\sec$
Step-by-step Solution
Learn how to solve problems step by step online. Prove the trigonometric identity sin(x)(cot(x)+tan(x))=sec(x). Starting from the left-hand side (LHS) of the identity. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors.
Prove the trigonometric identity sin(x)(cot(x)+tan(x))=sec(x)
Final answer to the exercise
true