Expert: Paul Klarreich - 3/27/2008

Question
The question is..

Use the sum and difference formulas and the sin2x and cos2x to express sinx^0 where x is an integer between 0 and 90, in terms of rational numbers and radicals for as many values of x as possible.

I am confused about expressing it in rational numbers and radicals. Please show me how to do that.

Also, I know that anything to the power of 0 is 1, and sin1 is 0 in radians.. that makes expressing it in rational numbers and radicals even more confusing.. please help me..

Please reply to me asap! Thank you

Answer
Questioner:   Maham
Category:  Advanced Math
Private:  No
 
Subject:  Help needed asap!
Question:  The question is..

Use the sum and difference formulas and the sin2x and cos2x to express sinx^0 where x is an integer between 0 and 90, in terms of rational numbers and radicals for as many values of x as possible.

I am confused about expressing it in rational numbers and radicals. Please show me how to do that.

Also, I know that anything to the power of 0 is 1, and sin1 is 0 in radians.. that makes expressing it in rational numbers and radicals even more confusing.. please help me..

Please reply to me asap! Thank you
...............................................
Hi, Maham,

This is a rather general question, and your notation does not make clear just what you are asking.

sin x^0 does not really mean anything.

BUT:

Here are a few clues (angles in degrees):

sin(30) =  1/2 = cos(60)
cos(30) = sqrt(3)/2 = sin(60)
sin(45) = cos(45) = sqrt(2)/2

Now you can do stuff like this:

sin-or-cos(15) = sin-or-cos(60-45)

sin-or-cos(75) = sin-or-cos(30+45)

Does that help?

P.S. A subject line should refer to the SUBJECT, not to you, and should help someone browsing the site to find a question like his.  "Help needed asap!" is useless.