SOLUTION: Find the exact values of sin(2u),cos(2u),tan(2u)using the half-angle formulas. sin u = -3/5, 0

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Question 1153915: Find the exact values of sin(2u),cos(2u),tan(2u)using the half-angle formulas.
sin u = -3/5, 0

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) What does "sin u = -3/5, 0" mean?

(2) If you give use the values of sin u and cos u, we can't find the values of sin(2u), cos(2u), or tan(2u) using half-angle formulas -- we would need to use double-angle formulas.

If you want help with your questions, be careful to post them clearly and correctly.


Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

(1)  First, you should not use half-angle formulas.



(2)  Second, for the given purposes, special formulas do exist in Trigonometry, that are called the double argument formulas.


     These formulas are


         cos%282alpha%29+=+2%2Acos%5E2%28alpha%29+-+1

         sin%282alpha%29+=+2%2Asin%28alpha%29%2Acos%28alpha%29

         tan%282alpha%29 = %282%2Atan%28alpha%29%29%2F%281-tan%5E2%28alpha%29%29.



(3)  So, start calculating

         cos%28alpha%29 = +/- sqrt%281-sin%5E2%28alpha%29%29 = +/- sqrt%281-%28-3%2F5%29%5E2%29 = +/- sqrt%281-9%2F25%29 = +/- sqrt%2816%2F25%29 = +/- 4%2F5.


      Which sign to chose there, is the unknown fact - the problem does not provide a necessary info for it.


      In this sense, your input is FATALLY incomplete.



(4)  Having values of  sin%28alpha%29  and cos%28alpha%29, you should substitute them into formulas for double arguments above,

     and complete the assignment in this way.

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Again, the input is FATALLY INCOMPLETE; therefore, I can not continue.

The fact that the input is incomplete, is your FAULT.

and my conclusion is that the problem is presented in the post EXTREMELY UNPROFESSIONALLY.