Trigonometric Identity cosx + sin x = sq rt 2 cosx find cosx - sinx

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Can you please show why cosx ≤ sinx xE[0, 2pi] is not [pi/4, 5pi/6]. I don't understand why you have to divide by cos to end up with tan x. Cant you just solve this by using the unit circle?

khashayarnoubakht
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Very very bad process...
✓2 both side)
✓2cosx=cosx+sinx)
=>Cosx-sinx=✓2 sinx

koushikghosh
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Can you please explain cotA + tanB upon CotB + tanA =cotA.tanB

Sukoon_corner_