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is it possible to solve cos pi(t) + sin pi(t) = 0 for determining the value of pi(t)??

pls help

pls help

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- Thread starter teng125
- Start date

- #1

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is it possible to solve cos pi(t) + sin pi(t) = 0 for determining the value of pi(t)??

pls help

pls help

- #2

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- #4

0rthodontist

Science Advisor

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Why not draw the unit circle and try a few points, see if that gives you any idea.

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0rthodontist

Science Advisor

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- #7

VietDao29

Homework Helper

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If [tex]\cos (\pi (t)) = 0[/tex] then [tex]\sin (\pi (t)) = \pm 1[/tex]

So [tex]\cos (\pi (t)) + \sin (\pi (t)) = 0 \pm 1 = \pm 1 \neq 0[/tex]

That means if [tex]\cos (\pi (t)) = 0[/tex] then the LHS is not 0, and hence it does not satify the equation.

So it's true that [tex]\cos (\pi (t)) \neq 0[/tex].

Divide both sides of the equation by [tex]\cos (\pi (t))[/tex] to obtain:

[tex]1 + \tan (\pi (t)) = 0[/tex]

Now, can you go from here? :)

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