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Difficulty using Conditional Expressions from Solve

Posted 12 years ago

Hi all,

I have only recently started using Mathematica through school and have run into a few problems when trying the following expression.

Solve[Sin[(119 \[Pi])/730 - (2 \[Pi] t)/365] == 1/2, t]

However when i do this i get the following conditional expression:

`{{t -> ConditionalExpression[(
119 \[Pi] + 730 (-(\[Pi]/6) + 2 \[Pi] C[1]))/(4 \[Pi]), 
C[1] \[Element] Integers]}`

and

{t -> ConditionalExpression[(119 \[Pi] + 730 ((7 \[Pi])/6 + 2 \[Pi] C[1]))/(4 \[Pi]), C[1] \[Element] Integers]}

I am trying to evaluate it so that i can get simple answers for t, and not conditional expressions. Is there a SIMPLE way that I can get around this for either the solve function or the reduce function.

Thanks, James

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POSTED BY: James Forrester
2 Replies

Do you find this easier to read?

In[2]:= Reduce[Sin[(119 [Pi])/730 - (2 [Pi] t)/365] == 1/2, t]

Out[2]= C[1] [Element] Integers && (t == 119/4 - (365 ([Pi]/6 + 2 [Pi] C[1]))/(2 [Pi]) || t == 119/4 - (365 ((5 [Pi])/6 + 2 [Pi] C[1]))/(2 [Pi]))

POSTED BY: Frank Kampas
POSTED BY: Marco Thiel
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