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Use the Pythagoraen Identities to fill in the blanks. 1= 1= :

Use the Pythagoraen Identities to fill in the blanks. 1= 1= :

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 46E
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Use the Pythagoraen Identities to fill in the blanks. 1 = 1= 1= :: cos? x - sin? x :: sin? x - cos? x : cos x + sin? x : sec? x - tan? x : tan? x - sec² x * tan x+ sec? x :: csc? x + cot? x :: cot? x - csc? x : csc? x - cot x 1 3 4. 6 os//nisd.schoology.com/common-assessment-delivery/start/5674948367?action=onresume&submissionld=774286758#
Transcribed Image Text:Use the Pythagoraen Identities to fill in the blanks. 1 = 1= 1= :: cos? x - sin? x :: sin? x - cos? x : cos x + sin? x : sec? x - tan? x : tan? x - sec² x * tan x+ sec? x :: csc? x + cot? x :: cot? x - csc? x : csc? x - cot x 1 3 4. 6 os//nisd.schoology.com/common-assessment-delivery/start/5674948367?action=onresume&submissionld=774286758#
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Calculus homework question answer, step 1, image 1

from the right angle triangle, we can write

\sin \left(\theta \right)=\frac{a}{c}

\cos \left(\theta \right)=\frac{b}{c}

\tan \left(\theta \right)=\frac{a}{b}

\cot\left(\theta \right)=\frac{b}{a}

\csc\left(\theta \right)=\frac{c}{a}

\sec\left(\theta \right)=\frac{c}{b}

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