I need help with this. I've gotten a few steps so far but I cannot figure out the rest. ## Prove the IdentityGiven the trigonometric identity to prove:\[ \sec(-x) - \sin(-x) \tan(-x) = \cos x \]### NoteEach statement must be based on a rule chosen from the Rule menu. To see a detailed description of a rule, select the More Information Button to the right of the rule.### Steps and Corresponding Rules| Statement | Rule ||------------------------------------------------|-----------|| \(\sec(-x) - \sin(-x) \tan(-x)\) | || \(\sec(-x) - \sin(-x) \tan(-x)\) | Algebra || \(\sec x - \sin(-x) \tan(-x)\) | Odd/Even || \(\sec x - (-\sin x) \tan(-x)\) | Odd/Even || \(\sec x - (-\sin x) (-\tan x)\) | Odd/Even || \(\sec x - \sin x \tan x\) | Simplify || \(\boxed{\cos x}\) | Identity |### Explanation of the Rules:- **Algebra**: Simplifying the expression.- **Odd/Even**: Applying properties of sine, cosine, and tangent for negative angles.- **Simplify**: Reducing the expression to its simplest form.- **Identity**: Using a fundamental trigonometric identity to conclude the proof.### Diagram ExplanationTo the right of the rule table, there is a selection menu which allows for the application of various trigonometric rules:- The vertical scroll list includes different trigonometric rules and identities.- Symbols such as \(\cos\), \(\sin\), \(\tan\), \(\cot\), \(\sec\), \(\csc\), \(\pi\), parentheses, and square roots allow for selecting specific trigonometric functions and constants.- Additional buttons include a help icon (?), a reset button (↻), and a validation button (X).

Answered: Prove the identity. sec (-x) – sin(-x)…

Math

Trigonometry

Prove the identity. sec (-x) – sin(-x) tan(-x) = cosx

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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