### Trigonometric Identity VerificationIn this step-by-step solution, we will verify a given trigonometric identity.#### Given Identity:\[ \cos(\theta + \tan(\theta)) = \cos(\theta) + \sin(\theta) \]#### Verification Process:1. **Restate the Given Identity:** \[ \cos(\theta + \tan(\theta)) = \cos(\theta) + \sin(\theta) \]2. **Start with the Left-Hand Side (LHS):** \[ \text{LHS} = \cos(\theta + \tan(\theta)) \] (, employ trigonometric angle addition formulas if necessary or substitute values to verify the identity.)3. **Compare LHS with Right-Hand Side (RHS):** - **RHS:** \[ \cos(\theta) + \sin(\theta) \] - Ensure that LHS should simplify or match to this expression.4. Continue the process of proving the identities or simplifying the expression till both sides match.\[\boxed{}\]This verification demonstrates the equality and connection between various trigonometric functions.

We have, the given trigonometric equation as As we know that, from basic trigonometric properties

Answered: Cooe CHtune) =CNe+Sine

Cooe CHtune) =CNe+Sine

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section: Chapter Questions

Problem 5DE

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