or problems 1-3, prove the given identity. 1. tan(-x) cos x + cscx sinx = 1 - sin x

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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I need quick help here please tutor. Question 1
**Trigonometric Identities**

For problems 1-3, prove the given identity.

1. \( \tan(-x) \cos x + \csc x \sin x = 1 - \sin x \)

2. \( \frac{\sec x}{\cos x} - \frac{\ln x}{\cot x} = 1 \)

These problems require the use of trigonometric identities and transformations to verify the equations provided. An understanding of fundamental identities like \(\tan(-x) = -\tan x\) and \(\csc x = \frac{1}{\sin x}\) will be helpful in these proofs.
Transcribed Image Text:**Trigonometric Identities** For problems 1-3, prove the given identity. 1. \( \tan(-x) \cos x + \csc x \sin x = 1 - \sin x \) 2. \( \frac{\sec x}{\cos x} - \frac{\ln x}{\cot x} = 1 \) These problems require the use of trigonometric identities and transformations to verify the equations provided. An understanding of fundamental identities like \(\tan(-x) = -\tan x\) and \(\csc x = \frac{1}{\sin x}\) will be helpful in these proofs.
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