need help with Trig functions

[jordanlind]

So I have this problem from high school that Me and about 3 other students could solve, and the only teacher who could solve it as well was the calc teacher. I dug through old books and found the problem, but have no idea how to solve it again. being in college trigonometry, what better way to learn how to try and solve it again? Here is the problem:

Prove:
tan(x) + cot(x)
1-cot(x) 1-tan(x)

Is Equal To:
1+csc(x)sec(x)

The way I figured it out was using all cot and tan. Help anyone?

 

[Steven G]

So I have this problem from high school that Me and about 3 other students could solve, and the only teacher who could solve it as well was the calc teacher. I dug through old books and found the problem, but have no idea how to solve it again. being in college trigonometry, what better way to learn how to try and solve it again? Here is the problem:

Prove:
tan(x) + cot(x)
1-cot(x) 1-tan(x)

Is Equal To:
1+csc(x)sec(x)

The way I figured it out was using all cot and tan. Help anyone?

Can you show us your attempt?

Tan(x)/(1-cot(x)) = tan^2(x)/(tan(x)-1).

cot(x)/(i-tan(x)) = 1/(tan(x)(1-tan(x))

Now we only have tangents. Add the two fractions after getting common denominators.

Personally I would have gotten everything to have sines and cosines but you wanted tangents/cot.

 

[stapel]

Prove:
tan(x) + cot(x)
1-cot(x) 1-tan(x)

Is Equal To:
1+csc(x)sec(x)

The way I figured it out was using all cot and tan. Help anyone?

If you've "figured it out", what is your question? When you reply, please include your work. Thank you!

 

[ClaireWu]

Hi everyone

 

[ClaireWu]

sorry for the mess up lol