I need help in this problems I'm a little confused..
verify each identity.. show your solution

1. sinx secx = tanx
2. tan(-x) cosx = -sinx
3. tanx cscx cosx = 1
4. secx - secx sin^2x = cosx
5. cos^2x-sin^2x= 1-2sin^2x
6. csc(data)-sin(data)=cot(data)cos(data)
7. tan(data)cot(data) = Sin(data)
csc(data)
8. sin^2(data) (1+cot^2(data))=1
9. sin(data) tan(data)= 1-cos^2(data)
cos(data)
10. csc^2x = cscxsecx
cotx
11. tan^2x = secx cosx
secx
12. sinx + cosx =1
cscx secx
13. Tanx + cosx = secx
1+sinx
14. 1- sin^2x = cosx
1+cosx
15. cosx + 1-sinx = 2secx
1-sinx cosx

Show your attempt please. Thanks.

In general you can solve these by replacing the tan(x), cot(x), sec(x), and csc(x) funtions with their sin(x) and cos(x) equivalents, then doing some algebraic maniipulations and perhaps applying some of the basic trig identities as needed, such as:

sin^2x + cos^2x = 1
sin(2x) = 2sinx cosx
cos(2x) = cos^2x - sin^2x

For example, the first problem is sin()x sec(x) = tan(x). Replace sec(x) with 1/cos(x) and it comes right out. Now show us your attempts on the remaining ones and we'll help you out if you get stuck.

Quote:

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Originally Posted by ebaines

In general you can solve these by replacing the tan(x), cot(x), sec(x), and csc(x) funtions with their sin(x) and cos(x) equivalents, then doing some algebraic maniipulations and perhaps applying some of the basic trig identities as needed, such as:

sin^2x + cos^2x = 1
sin(2x) = 2sinx cosx
cos(2x) = cos^2x - sin^2x

For example, the first problem is sin()x sec(x) = tan(x). Replace sec(x) with 1/cos(x) and it comes right out. Now show us your attempts on the remaining ones and we'll help you out if you get stuck.

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Tnx for the help...