Final answer to the problem
Step-by-step Solution
Specify the solving method
Starting from the left-hand side (LHS) of the identity
Applying the secant identity: $\displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}$
Learn how to solve trigonometric identities problems step by step online.
$\cos\left(x\right)-\sec\left(x\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity cos(x)-sec(x)=-sin(x)tan(x). Starting from the left-hand side (LHS) of the identity. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Combine all terms into a single fraction with \cos\left(x\right) as common denominator. Apply the trigonometric identity: \cos\left(\theta \right)^2-1=-\sin\left(\theta \right)^2.