simplifying trigonometric?

Question

i need help with simplifying some of these problems im not good at this at all...(the ^2 is the power)

1) cot^2x-1 ( in terms of sinx)

2) cos^2 cscx (in terms of sinx)

3) cscx (1-sinx)(1+sinx) (in terms of cos)


if u can help.thanks!

Answer 1

You need to know basic trigonometric identities and then make substitutions as appropriate to get what you want.

There are many identities on the internet or in your trigonometry book that can be used over and over.

For example cos^ 2x = 1- sin^2x and csc x= 1/sin x
Just plug this into problem 2 and you get(1-sin^2x)/sin x as the answer.

I've included a reference to a site that has all the identities you need to solve the other two problems. Hint: (1-sinx)(1+sinx) =
1-sin^x =cos^2x

Good luck

Answer 2

i think you might need a calculator with this problem...
sorry but idk either :(