Solving an Interesting Trigonometric Equation

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#TrigonometryProblems #TrigonometricEquations

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PLAYLISTS 🎵 :

[ahmadmazbouh]

Your videos are becoming a part of my day

[PegasusTenma]

That one was relatively easy, still pretty darn interesting. I almost forgot to check that cos(x) can’t be equal to 1+sqrt(3)/2 so glad I watched the video

[WahranRai]

utilization of double angle formula : tan 2x = 2t/(1-t^2) with t=tanx=sinx/cosx
2 (sinx/cosx)/(1- (sinx/cosx)^2) = sinx
2 (sinx/cosx) * (cosx)^2 / (cosx)^2 * (1- (sinx/cosx)^2) = sinx
2 sinx * cosx / ((cosx)^2 - (sinx)^2) = sinx
2 sinx * cosx = sinx * (2(cosx)^2 - 1) then sinx * ( 2(cosx)^2 - 2cosx - 1) = 0 etc...

[JohnRandomness]

Express tan 2x = sin 2x / cos 2x, and sin 2x = 2 sin x cos x. Sin x may be zero, which means that cos x = ±1.

For other solutions, cancel sin x. One gets 2 cos x = cos 2x = 2 cos²x - 1. Solve that as a quadratic in cos x. The result is cox x = (1 ± sqrt(3))/2. The square root of 3 is between 1 and 2, so (1 + sqrt(3))/2 > 1, which is fine if we allow x to be pure imaginary.

[satyapalsingh]

Extremely happy ! You are a great mathematician .

[autf_]

6:35 de söylediğiniz şeyde reel sayıları mi kastettiniz hocam yani karmaşık olursa -1 1 arasına sıkışmak zorunda değil dimi

[aoughlissouhil]

To see or not to see 😂😂😂😂😂😂
Nice vidéo 🤩❣️love it

[damiennortier]

2c or not... You see what I see 🤣🤣🤣
I love how you say that

[autf_]

Hocam geometrik yer denklemi ile ilgili de zor sorular çözer misiniz

[trinhvannghiep]

I'm in 11 grade and tbh, maths about sin cos tan are the most hurting maths i've ever dealt, because of super large amount of equations, functions to remember

[mikealdaccache]

I don't if it will ruine tge results, but 4:45 the - 1 must has been a +1 🙈

[rajendrasheregar]

-- SiNx = -- cosX
TaNx= -- cosX
wheN -- cosX shifts tOther sidE becomes cosX then TaNx will be 1/ minus CoSecX
Thus cosX is CoSecX

[foiulvy]

please, use 'b' as a variable. dont repeat your mistakes again and again