This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one...
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![Page 1: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/1.jpg)
This is a trigonometric identity: cosθ secθ =1
![Page 2: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/2.jpg)
This is a trigonometric identity: cosθ secθ =1
Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.
![Page 3: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/3.jpg)
This is a trigonometric identity: cosθ secθ =1
Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.
cosθ1
cosθ=1
According to trig. ratios, you can rewrite secθ as 1
cosθ
![Page 4: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/4.jpg)
This is a trigonometric identity: cosθ secθ =1
Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.
cosθ1
cosθ=1
By multiplying, you will get:
cosθcosθ
=1
According to trig. ratios, you can rewrite secθ as 1
cosθ
![Page 5: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/5.jpg)
This is a trigonometric identity: cosθ secθ =1
Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.
cosθ1
cosθ=1
By multiplying, you will get:
cosθcosθ
=1
1=1
According to trig. ratios, you can rewrite secθ as 1
cosθ
![Page 6: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/6.jpg)
This is a trigonometric identity: cosθ secθ =1
Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.
cosθ1
cosθ=1
By multiplying, you will get:
cosθcosθ
=1
1=1
According to trig. ratios, you can rewrite secθ as 1
cosθ
You just verified the identity.
![Page 7: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/7.jpg)
So, Verification Format Looks like this:
cosθ secθ =1
cosθ1
cosθ=1
cosθcosθ
=1
1=1
![Page 8: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/8.jpg)
Now let’s look at another one in proof format:
![Page 9: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/9.jpg)
Prove:cscθsecθ
=cotθ
![Page 10: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/10.jpg)
cscθsecθ
1 1Given
![Page 11: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/11.jpg)
cscθsecθ
=
1sinθ1
cosθ
2cscθsecθ
1 1Given
![Page 12: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/12.jpg)
cscθsecθ
=
1sinθ1
cosθ
2cscθsecθ
1 1Given
2 Trig. Ratios
![Page 13: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/13.jpg)
cscθsecθ
=
1sinθ1
cosθ
2cscθsecθ
1 1Given
2 Trig. Ratios
3
![Page 14: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/14.jpg)
cscθsecθ
=
1sinθ1
cosθ
2cscθsecθ
1 1Given
2 Trig. Ratios
3 3Division of Fractions
![Page 15: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/15.jpg)
cscθsecθ
=
1sinθ1
cosθ
2cscθsecθ
1 1Given
2 Trig. Ratios
3 3Division of Fractions
1
sinθ•cosθ1
=cosθsinθ
4
![Page 16: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/16.jpg)
cscθsecθ
=
1sinθ1
cosθ
2cscθsecθ
1 1Given
2 Trig. Ratios
3 3Division of Fractions
1
sinθ•cosθ1
=cosθsinθ
4 4Multiplication
![Page 17: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/17.jpg)
Multiplication4cosθsinθ
=cotθ51
sinθ•cosθ1
=cosθsinθ
4
![Page 18: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/18.jpg)
cosθsinθ
=cotθ51
sinθ•cosθ1
=cosθsinθ
4 Multiplication45Trig. Ratios
![Page 19: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/19.jpg)
cosθsinθ
=cotθ51
sinθ•cosθ1
=cosθsinθ
4 Multiplication45Trig. Ratios
“See.................You can do a Trig. Proof”
![Page 20: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/20.jpg)
cosθsinθ
=cotθ51
sinθ•cosθ1
=cosθsinθ
4 Multiplication45Trig. Ratios
“See.................You can do a Trig. Proof”
If you are asked to verify, just show the steps.
![Page 21: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/21.jpg)
cosθsinθ
=cotθ51
sinθ•cosθ1
=cosθsinθ
4 Multiplication45Trig. Ratios
“See.................You can do a Trig. Proof”
If you are asked to verify, just show the steps.
If you are asked to prove, include the reasons for each step.
![Page 22: This is a trigonometric identity:. Your goal is to verify/prove the identity by manipulating one side of the equation until it looks like the other side.](https://reader035.fdocuments.net/reader035/viewer/2022081515/5697bfcf1a28abf838ca9f96/html5/thumbnails/22.jpg)
cosθsinθ
=cotθ51
sinθ•cosθ1
=cosθsinθ
4 Multiplication45Trig. Ratios
“See.................You can do a Trig. Proof”
If you are asked to verify, just show the steps.
If you are asked to prove, include the reasons for each step.
That’s It !