Verify the identity. sinx+ sinx cotx= CBCX Choose the sequence of steps below that verifies the identity. O A. OB. O C. 1 sin x + sinx cot²x = sinx(1+ cot²x) CSC X sin x + sinx cot²x = sinx(1 + cot²x) A sin x + sinx cot²x = sinx(cot²x-1): OD. sinx+ sinxcot ²x= 1 + cot²x = cscx 1 2 CSC X CSC X csc ²x= cscx • cScx= CSC X cscx²= • CSC X = CSC X

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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**Verify the Identity**

Verify the identity:

\[ \sin x + \sin x \cot^2 x = \csc x \]

**Choose the sequence of steps below that verifies the identity.**

**A.**  
\[ \sin x + \sin x \cot^2 x = \sin x \left( 1 + \cot^2 x \right) = \frac{1}{\csc x} \cdot \csc^2 x = \csc x \]

**B.**  
\[ \sin x + \sin x \cot^2 x = \sin x \left( 1 + \cot^2 x \right) = \frac{1}{\csc^2 x} \cdot \csc x = \csc x \]

**C.**  
\[ \sin x + \sin x \cot^2 x = \sin x \left( \cot^2 x - 1 \right) = \frac{1}{\csc x} \cdot \csc^2 = \csc x \]

**D.**  
\[ \sin x + \sin x \cot^2 x = 1 + \cot^2 x = \csc x \]
Transcribed Image Text:**Verify the Identity** Verify the identity: \[ \sin x + \sin x \cot^2 x = \csc x \] **Choose the sequence of steps below that verifies the identity.** **A.** \[ \sin x + \sin x \cot^2 x = \sin x \left( 1 + \cot^2 x \right) = \frac{1}{\csc x} \cdot \csc^2 x = \csc x \] **B.** \[ \sin x + \sin x \cot^2 x = \sin x \left( 1 + \cot^2 x \right) = \frac{1}{\csc^2 x} \cdot \csc x = \csc x \] **C.** \[ \sin x + \sin x \cot^2 x = \sin x \left( \cot^2 x - 1 \right) = \frac{1}{\csc x} \cdot \csc^2 = \csc x \] **D.** \[ \sin x + \sin x \cot^2 x = 1 + \cot^2 x = \csc x \]
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