Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Prove from LHS (left-hand side)
- Prove from RHS (right-hand side)
- Express everything into Sine and Cosine
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
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Start by simplifying the left side of the identity: $\cos\left(x\right)\left(\tan\left(x\right)-\sec\left(-x\right)\right)$
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$\cos\left(x\right)\left(\tan\left(x\right)-\sec\left(x\right)\right)=\sin\left(x\right)-1$
Learn how to solve problems step by step online. Prove the trigonometric identity cos(x)(tan(x)-sec(-x))=sin(x)-1. Start by simplifying the left side of the identity: \cos\left(x\right)\left(\tan\left(x\right)-\sec\left(-x\right)\right). Starting from the left-hand side (LHS) of the identity. Multiply the single term \cos\left(x\right) by each term of the polynomial \left(\tan\left(x\right)-\sec\left(x\right)\right). Simplifying.