sin ⁡ x = 1 \sin x=1 sin x = 1

x = π 2 + 2 π n x=\ \frac{\pi}{2}+2\pi n x = 2 π + 2 π n

x = − π 2 + 2 π n x=-\frac{\pi}{2}+2\pi n x = − 2 π + 2 π n

x = π + 2 π n x=\pi+2\pi n x = π + 2 π n

cos ⁡ x = 1 \cos x=1 cos x = 1

x = π 2 + 2 π n x=\ \frac{\pi}{2}+2\pi n x = 2 π + 2 π n

x = − π 2 + 2 π n x=-\frac{\pi}{2}+2\pi n x = − 2 π + 2 π n

x = π + 2 π n x=\pi+2\pi n x = π + 2 π n

cos ⁡ x = − 1 \cos x=-1 cos x = − 1

x = π + 2 π n x=\pi+2\pi n x = π + 2 π n

x = π 2 + 2 π n x=\ \frac{\pi}{2}+2\pi n x = 2 π + 2 π n

x = − π 2 + 2 π n x=-\frac{\pi}{2}+2\pi n x = − 2 π + 2 π n

sin ⁡ x = − 1 \sin x=-1 sin x = − 1

x = − π 2 + 2 π n x=-\frac{\pi}{2}+2\pi n x = − 2 π + 2 π n

x = π 2 + 2 π n x=\ \frac{\pi}{2}+2\pi n x = 2 π + 2 π n

x = π + 2 π n x=\pi+2\pi n x = π + 2 π n

t g x = 3 tgx=\sqrt{3} t g x = 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

x = π 3 + π n x=\frac{\pi}{3}+\pi n x = 3 π + π n

x = π 6 + π n x=\frac{\pi}{6}+\pi n x = 6 π + π n

x = − π 3 + π n x=-\frac{\pi}{3}+\pi n x = − 3 π + π n

x = − π 6 + π n x=-\frac{\pi}{6}+\pi n x = − 6 π + π n

ctg ⁡ x = 3 \operatorname{ctg}x=\sqrt{3} c t g x = 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

x = π 6 + π n x=\frac{\pi}{6}+\pi n x = 6 π + π n

x = π 3 + π n x=\frac{\pi}{3}+\pi n x = 3 π + π n

x = − π 3 + π n x=-\frac{\pi}{3}+\pi n x = − 3 π + π n

x = − π 6 + π n x=-\frac{\pi}{6}+\pi n x = − 6 π + π n

ctg ⁡ x = − 3 \operatorname{ctg}x=-\sqrt{3} c t g x = − 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

x = − π 6 + π n x=-\frac{\pi}{6}+\pi n x = − 6 π + π n

x = π 3 + π n x=\frac{\pi}{3}+\pi n x = 3 π + π n

x = π 6 + π n x=\frac{\pi}{6}+\pi n x = 6 π + π n

x = − π 3 + π n x=-\frac{\pi}{3}+\pi n x = − 3 π + π n

t g x = 3 3 tgx=\frac{\sqrt{3}}{3} t g x = 3 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

x = π 6 + π n x=\frac{\pi}{6}+\pi n x = 6 π + π n

x = π 3 + π n x=\frac{\pi}{3}+\pi n x = 3 π + π n

x = − π 3 + π n x=-\frac{\pi}{3}+\pi n x = − 3 π + π n

x = − π 6 + π n x=-\frac{\pi}{6}+\pi n x = − 6 π + π n

t g x = − 3 3 tgx=-\frac{\sqrt{3}}{3} t g x = − 3 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

x = − π 6 + π n x=-\frac{\pi}{6}+\pi n x = − 6 π + π n

x = 5 π 6 + π n x=\frac{5\pi}{6}+\pi n x = 6 5 π + π n

x = π 6 + π n x=\frac{\pi}{6}+\pi n x = 6 π + π n

x = − 5 π 6 + π n x=-\frac{5\pi}{6}+\pi n x = − 6 5 π + π n

sin ⁡ ( x + π 3 ) < − 1 2 \sin\left(x+\frac{\pi}{3}\right)<-\frac{1}{2} sin ( x + 3 π ) < − 2 1

x ∈ ( − 7 π 6 + 2 π n ; − π 2 + 2 π n ) x\in\left(-\frac{7\pi}{6}+2\pi n;\ -\frac{\pi}{2}+2\pi n\right) x ∈ ( − 6 7 π + 2 π n ; − 2 π + 2 π n )

x ∈ ( 5 π 6 + 2 π n ; 9 π 6 + 2 π n ) x\in\left(\frac{5\pi}{6}+2\pi n;\ \frac{9\pi}{6}+2\pi n\right) x ∈ ( 6 5 π + 2 π n ; 6 9 π + 2 π n )

x ∈ ( 9 π 6 + 2 π n ; 5 π 6 + 2 π n ) x\in\left(\frac{9\pi}{6}+2\pi n;\ \frac{5\pi}{6}+2\pi n\right) x ∈ ( 6 9 π + 2 π n ; 6 5 π + 2 π n )

x ∈ ( − π 2 + 2 π n ; − 7 π 6 + 2 π n ) x\in\left(-\frac{\pi}{2}+2\pi n;\ -\frac{7\pi}{6}+2\pi n\right) x ∈ ( − 2 π + 2 π n ; − 6 7 π + 2 π n )

t g x < 3 3 tgx<\frac{\sqrt{3}}{3} t g x < 3 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

x ∈ ( − π 2 + π n ; π 6 + π n ) x\in\left(-\frac{\pi}{2}+\pi n;\ \frac{\pi}{6}+\pi n\right) x ∈ ( − 2 π + π n ; 6 π + π n )

x ∈ ( π 2 + π n ; 7 π 2 + π n ) x\in\left(\frac{\pi}{2}+\pi n;\ \frac{7\pi}{2}+\pi n\right) x ∈ ( 2 π + π n ; 2 7 π + π n )

x ∈ ( 7 π 6 + π n ; 3 π 2 + π n ) x\in\left(\frac{7\pi}{6}+\pi n;\ \frac{3\pi}{2}+\pi n\right) x ∈ ( 6 7 π + π n ; 2 3 π + π n )

x ∈ ( π 6 + π n ; π 2 + π n ) x\in\left(\frac{\pi}{6}+\pi n;\ \frac{\pi}{2}+\pi n\right) x ∈ ( 6 π + π n ; 2 π + π n )

Vienības riņķī doti pagrieziena leņķi alfa un beta . Kurš no apgalvojumiem ir patiess?

cos ⁡ α > cos ⁡ β \cos\alpha>\cos\beta cos α > cos β

cos ⁡ α < cos ⁡ β \cos\alpha<\cos\beta cos α < cos β

cos ⁡ α = cos ⁡ β \cos\alpha=\cos\beta cos α = cos β

sin ⁡ α > sin ⁡ β \sin\alpha>\sin\beta sin α > sin β

Trigonometriskie vienādojumi un nevienādības.

Authored by Inese Jakubova

Mathematics

11th Grade

Used 4+ times

Trigonometriskie vienādojumi un nevienādības.

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$tgx=-\frac{\sqrt{3}}{3}$

$x=\frac{\pi}{6}+\pi n$

$x=-\frac{\pi}{6}+\pi n$

$x=-\frac{5\pi}{6}+\pi n$

$x=\frac{5\pi}{6}+\pi n$

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Trigonometriskie vienādojumi un nevienādības.

π3+π2=\frac{\pi}{3}+\frac{\pi}{2}=3π​+2π​= vairākas atbildes

sin⁡x=1\sin x=1sinx=1

cos⁡x=1\cos x=1cosx=1

cos⁡x=−1\cos x=-1cosx=−1

sin⁡x=−1\sin x=-1sinx=−1

tgx=3tgx=\sqrt{3}tgx=3​

ctg⁡x=3\operatorname{ctg}x=\sqrt{3}ctgx=3​

ctg⁡x=−3\operatorname{ctg}x=-\sqrt{3}ctgx=−3​

tgx=33tgx=\frac{\sqrt{3}}{3}tgx=33​​

tgx=−33tgx=-\frac{\sqrt{3}}{3}tgx=−33​​

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$\frac{\pi}{3}+\frac{\pi}{2}=$ vairākas atbildes

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