Solving A Trigonometric Equation

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[@heet888]

You always come up with these interesting problems

[@Nobodyman181]

U solve very interesting problems❤

[@honestadministrator]

(cos ( x) + sin( x))

[@Katzenkratscher]

Interesting. Unit circle has corners. I have never thought about that.

[@matthewfeig5624]

If I see cos x +/- sin x, I think to shift the variable by pi/4 so you can write them as a single trig function. Just multiply by sqrt(2)/2 and think about the sum identities for sine and cosine.

[@scottleung9587]

I used the second method.

[@NadiehFan]

I thought of a third method, but to see this, you will have to change the sorting order of the comments to

[@jaimeduncan6167]

Excellent. Why cos(x)-sin(x)=1 has so few solutions needs justification. Clearly, sin(x)=-0.5 and cos(x)=0.5 seems to be a solution. The reason that will not work is the Pythagorean identity but it needs justification. That is the advantage of the first method.

[@liahsheep]

0:15

[@Dae-Ying-Kim12345]

* what about sin(x)+coc(x)=tan(x) ? *

[@mikeschieffer7899]

sinx + cosx = cos(2x)

[@mk-ot6wp]

Solve this:

[@DonEnsley-mathdrum]

problem

[@VlogByMijan]

Please make videos on hardest IMO algebra problems 🙏🙏🙏🙏🙏. This will be more helpful and it will also increase views of your channel.