Final Answer
Step-by-step Solution
Specify the solving method
Starting from the left-hand side (LHS) of the identity
Learn how to solve trigonometric identities problems step by step online.
$\sec\left(x\right)-\tan\left(x\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity sec(x)-tan(x)=cos(x)/(1+sin(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 secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\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.