Yahoo Answers is shutting down on 4 May 2021 (Eastern Time) and the Yahoo Answers website is now in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
We are told simply to simplify the following math expression.?
Simplify
tan(A) / [sec(A) - cos (A)]
thanks in advanced.
3 Answers
- Anonymous1 decade agoFavourite answer
Here's how you get the answer:
tan(A)
--------
[sec(A) - cos (A)]
sin(A) 1
--------- = tan(A) sec(A) = -------
cos(A) cos(A)
Substitue these
sin(A)/cos(A)
-------------------
1/cos(A) - cos(A)
Multiply everything by cos(A)
sin(A)
---------------
1 - cos^2(A)
Use 1 - cos^2(A) = sin^2(A) and substitute
sin(A)
---------
sin^2(A)
Simplify
1
--------
sin(A)
Hope This Helps,
Crowder
- gôhpihánLv 71 decade ago
sec A - cos A
= 1/ cosA - cos A
= (1 - cos² A) / cos A
= sin² A / cos A
tan A / ( sec A -cos A)
= tan A / (sin²A / cosA)
= tanA cosA / sin² A
= sin A/ cosA * cos A / sin² A
= sinA / sin² A
= 1/ sin A
= cosec A
- 1 decade ago
[tan(A)] / [sec(A) - cos(A)]
[tan(A)] / [(1/Cos) - cos(A)]
[tan(A)] / [(1-cos^A) / cos(A)]
[tan(A) cos(A)] / [1 - cos^(A)]
[tan(A) cos(A)] / [sin^(A)]
[Sin(A) / cos(A)] cos(A) / [sin^(A)]
[sin(A)] / [sin^(A)]
1 / [sin(A)]
= CosecA
