Select the correct steps to complete the proof of the identity. (sint – cos cos t)? = 1– sin (2t) Proof: Step 1: (sint – cost)² = : (sint – cost) (sint – cos t) Step 2: sin' t - cos?t = sin? t – 2 cost sint – cos² t = sin? t – 2 cost sin t + cos? t = sin t + 2 cost sint + cos? t

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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Step 3:
= 1+2 costsint
= 1- cos t sint
= 1+ cost sint
= 1- 2 cost sint
Step 4:
1+ sin (2t)
- sin (2t)
1-
= 1+ cos (2t)
= 1- cos (2t)
||
||
Transcribed Image Text:Step 3: = 1+2 costsint = 1- cos t sint = 1+ cost sint = 1- 2 cost sint Step 4: 1+ sin (2t) - sin (2t) 1- = 1+ cos (2t) = 1- cos (2t) || ||
Select the correct steps to complete the proof of the identity.
(sint – cost
- cos t)? = 1– sin (2t)
Proof:
Step 1: (sint – cos t)² = (sin t – cos t) (sint – cos t)
|
Step 2:
sin? t – cos?t
= sin? t – 2 cost sint – cos? t
sin? t – 2 cos t sint + cos? t
sin? t+ 2 cos t sint + cos? t
Transcribed Image Text:Select the correct steps to complete the proof of the identity. (sint – cost - cos t)? = 1– sin (2t) Proof: Step 1: (sint – cos t)² = (sin t – cos t) (sint – cos t) | Step 2: sin? t – cos?t = sin? t – 2 cost sint – cos? t sin? t – 2 cos t sint + cos? t sin? t+ 2 cos t sint + cos? t
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