(sint – cos t)? =1- sin (2t)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 42E
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Hello, I don't understand the equation may someone help me out, may you also write the work and answer legibly or type it out if possible please ?please HIGHLIGHT the answer and double check if its correct please ?
Select the correct steps to complete the proof of the identity.
(sint – cos t)? = 1- sin (2t)
Proof:
Step 1: (sint – cos t) = (sint – cost) (sint – cost)
Step 2:
O= sin? t – cos? t
sin? t – 2 cos t sint – cos?t
O= sin? t – 2 cost sint + cos?t
O= sin? t + 2 cos t sint + cos?t
Step 3:
D=1+2 cost sin t
)=1-2 costsint
O=1+ cost sint
O=1- cost sint
Step 4:
O=1- cos (2t)
1+ sin (2t)
)= 1- sin (2t)
)=1+ cos (2t)
Transcribed Image Text:Select the correct steps to complete the proof of the identity. (sint – cos t)? = 1- sin (2t) Proof: Step 1: (sint – cos t) = (sint – cost) (sint – cost) Step 2: O= sin? t – cos? t sin? t – 2 cos t sint – cos?t O= sin? t – 2 cost sint + cos?t O= sin? t + 2 cos t sint + cos?t Step 3: D=1+2 cost sin t )=1-2 costsint O=1+ cost sint O=1- cost sint Step 4: O=1- cos (2t) 1+ sin (2t) )= 1- sin (2t) )=1+ cos (2t)
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