Exercise
$\cos\left(x\right)-\frac{1}{\cos\left(x\right)}=-\tan\left(x\right)\sin\left(x\right)$
Step-by-step Solution
Learn how to solve trigonometric equations problems step by step online. Prove the trigonometric identity cos(x)+-1/cos(x)=-tan(x)sin(x). Starting from the left-hand side (LHS) of the identity. Combine all terms into a single fraction with \cos\left(x\right) as common denominator. When multiplying two powers that have the same base (\cos\left(x\right)), you can add the exponents. Apply the trigonometric identity: \cos\left(\theta \right)^2-1=-\sin\left(\theta \right)^2.
Prove the trigonometric identity cos(x)+-1/cos(x)=-tan(x)sin(x)
Final answer to the exercise
true