Proving Trigonometric Identities - Flamingo Math · PROVING TRIG IDENTITIES FREEBIE . This is a...
Transcript of Proving Trigonometric Identities - Flamingo Math · PROVING TRIG IDENTITIES FREEBIE . This is a...
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Proving Trigonometric Identities
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PROVING TRIG IDENTITIES FREEBIE
This is a Free Cut & Paste activity for students enrolled in PreCalculus or Trigonometry. The lesson includes 2 trigonometric identities. Students are provided with the scrambled steps on a separate page to cut and paste the pieces in the correct progression to verify the identity.
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1.
Proving Trig Identities
2.
Proving Trig Identities
© 2
015
(Jean
Ada
ms)
Fla
min
go M
athTM
1 sin cos2sec
cos 1 sinθ θ θθ θ
++ =
+cos
sec tan1 sin
xx xx
− =+
![Page 4: Proving Trigonometric Identities - Flamingo Math · PROVING TRIG IDENTITIES FREEBIE . This is a Free Cut & Paste activity for students enrolled in . PreCalculus or Trigonometry. The](https://reader035.fdocuments.net/reader035/viewer/2022062404/613030c31ecc51586943efc1/html5/thumbnails/4.jpg)
© 2
015
(Jean
Ada
ms)
Fla
min
go
Mat
hTM
sin1cos cos
xx x−
( ) ( )( ) ( )
1 sin cos1 sin 1 sin
x xx x
−+ −
cos1 sin
xx+
( ) ( )2
1 sin cos1 sin
x xx
−−
2(1 sin )(cos )
cosx x
x−
1 sin coscos cos
x xx x
−
2secθ
2(1 sin )cos (1 sin )
θθ θ++
( )2 21 2 sin sin cos
cos 1 sinxθ θ θ
θ+ + +
+
( )( )
2 21 sin coscos 1 sin
θ θθ θ
+ ++
1 2 sin 1cos (1 sin )
θθ θ
+ ++
2cosθ
Proof #1 Proof #2
Directions: Cut out each piece and paste them to the identity in the correct sequence.
![Page 5: Proving Trigonometric Identities - Flamingo Math · PROVING TRIG IDENTITIES FREEBIE . This is a Free Cut & Paste activity for students enrolled in . PreCalculus or Trigonometry. The](https://reader035.fdocuments.net/reader035/viewer/2022062404/613030c31ecc51586943efc1/html5/thumbnails/5.jpg)
1.
Proving Trig Identities
2.
Proving Trig Identities
© 2
015
(Jean
Ada
ms)
Fla
min
go M
athTM
1 sin cos2sec
cos 1 sinθ θ θθ θ
++ =
+cos
sec tan1 sin
xx xx
− =+
sin1cos cos
xx x−
( ) ( )( ) ( )
1 sin cos1 sin 1 sin
x xx x
−+ −
cos1 sin
xx+
( ) ( )2
1 sin cos1 sin
x xx
−−
2(1 sin )(cos )
cosx x
x−
1 sin coscos cos
x xx x
−
2secθ
2(1 sin )cos (1 sin )
θθ θ++
( )θ θ θθ θ
+ + ++
2 21 2 sin sin coscos 1 sin
( )( )
2 21 sin coscos 1 sin
θ θθ θ
+ ++
( )1 2 sin 1
cos 1 sinθ
θ θ+ +
+
2cosθ
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