9. Identify the missing step in the proof of the Pythagorean Identity. 1+ tan°(x) = sec" (x) opp side (adj side) (1) + (adj side)* ( adj side adj side? + opp side² = hyp² 2 hyp - (adj side)*| adj side opp side adj side hyp 1+ adj side 1+(- ( opp side hyp hyp opp side tan°(x) + 1 tan (æ) = cos²(x) 1 O 1+ sec (x) cot(x)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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9. Identify the missing step in the proof of the Pythagorean Identity.
1+tan (x) = sec (x)
Identity
Substitute.
(adj side) (1) + (adj side)?( OPP side
adj side
hyp
= (adj side)?
Find a common denominator.
adj side
adj side? + opp side?
hyp?
Simplify.
opp side
hyp
adj side
1+
=
adj side
opp side
1+
hyp
=
hyp
opp side
1
O tan?(z) + 1 tan (x) =
cos (x)
1
= sec?(x)
cot(x)
1+
Transcribed Image Text:9. Identify the missing step in the proof of the Pythagorean Identity. 1+tan (x) = sec (x) Identity Substitute. (adj side) (1) + (adj side)?( OPP side adj side hyp = (adj side)? Find a common denominator. adj side adj side? + opp side? hyp? Simplify. opp side hyp adj side 1+ = adj side opp side 1+ hyp = hyp opp side 1 O tan?(z) + 1 tan (x) = cos (x) 1 = sec?(x) cot(x) 1+
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