Najprostsza postać Mavannkas: Najprostsza postać

	π
tg(π+α)+ctg(		−α)
	2

	π		3
sin(		−α)cos(π−α)−cos(π+α)sin(		π+α)
	2		2

Mavannkas: Jeszcze nie wiem jak się zabrać za to

	π		sin(π+x)		sin(π−x)
tg(		−x)(		+		)=2
	2		cos(π−x)		cos(−x)

Chyba o to cho :): 1) tg(π+α) = tg(α) ctg(π/2 − α) = −tg(α) A więc tg(π+α) + ctg(π/2 − α) = tg(α) − tg(α) = 0 2) sin(π/2 − α) = cos(α) cos(π−α) = − cos(α) cos(π+α) = − cos(α) sin(3/2π + α) = sin( −α) = − sin(α) A więc: cos(α)*(−cos(α)) − (− cos(α) * sin(α)) = −cos⁽2)α+sin(α)cos(α) = cos(α) (sin(α) − cos(α))

Mila: 1)

	π
ctg(		−α)=tgα
	2

tg(π+α)=tgα

	π
tg(π+α)+ctg(		−α)=2tgα
	2

2) sin(π/2−α)*cos(π−α)−cos(π+α)*sin(3π/2+α)= =cosα*(−cosα)−(−cosα*(−cosα))= =−cos²α−cos²α= =−2cos²α ===========