Koje tvrdnje su točne? ( ima više rješenja )

α < β → t g α < t g β \alpha<\beta\ \ \ \rightarrow\ \ \ tg\alpha<tg\beta α < β → t g α < t g β

α > β → ctg ⁡ α < ctg ⁡ β \alpha>\beta\ \ \ \ \rightarrow\ \ \ \operatorname{ctg}\alpha<\operatorname{ctg}\beta α > β → c t g α < c t g β

α > β → cos ⁡ α < cos ⁡ β \alpha>\beta\ \ \ \ \rightarrow\ \ \ \cos\alpha<\cos\beta α > β → cos α < cos β

α < β → sin ⁡ α < sin ⁡ β \alpha<\beta\ \ \ \rightarrow\ \ \ \sin\alpha<\sin\beta α < β → sin α < sin β

α < β → sin ⁡ α > sin ⁡ β \alpha<\beta\ \ \ \rightarrow\ \ \ \sin\alpha>\sin\beta α < β → sin α > sin β

Koje tvrdnje su točne? ( ima više rješenja )

ctg ⁡ α = t g β \operatorname{ctg}\alpha=tg\beta c t g α = t g β

cos ⁡ α = c \cos\alpha=c cos α = c nema rješenja ako je c < 0 c<0 c < 0

sin ⁡ α = c \sin\alpha=c\ \ \ sin α = c nema rješenja ako je c > 1 c>1 c > 1

ctg ⁡ α = 1 t g α \operatorname{ctg}\alpha=\frac{1}{tg\alpha} c t g α = t g α 1

t g α = 1 t g β tg\alpha=\frac{1}{tg\beta} t g α = t g β 1

Što je točno ? ( ima više rješenja )

t g 35 ° 4 5 ′ < t g 57 ° 2 4 ′ ′ tg\ 35°45'<tg\ 57°24'' t g 3 5 ° 4 5 ′ < t g 5 7 ° 2 4 ′ ′

sin ⁡ 35 ° 4 5 ′ < sin ⁡ 57 ° 2 4 ′ ′ \sin35°45'<\sin57°24'' sin 3 5 ° 4 5 ′ < sin 5 7 ° 2 4 ′ ′

cos ⁡ 35 ° 4 5 ′ < cos ⁡ 57 ° 2 4 ′ ′ \cos\ 35°45'<\cos\ 57°24'' cos 3 5 ° 4 5 ′ < cos 5 7 ° 2 4 ′ ′

ctg ⁡ 35 ° 4 5 ′ < ctg ⁡ 57 ° 2 4 ′ ′ \operatorname{ctg}35°45'<\operatorname{ctg}\ 57°24'' c t g 3 5 ° 4 5 ′ < c t g 5 7 ° 2 4 ′ ′

Za t g α > 1 tg\alpha>1 t g α > 1 vrijedi ( ima više odgovora )

α > 45 ° \alpha>45° α > 4 5 °

ctg ⁡ α < 1 \operatorname{ctg}\alpha<1 c t g α < 1

α < 45 ° \alpha<45° α < 4 5 °

ctg ⁡ α > 1 \operatorname{ctg}\alpha>1 c t g α > 1

Računanje kutova iz zadanih trigonometrijskih omjera

Authored by Mirjana Blažević-Mandić

Mathematics

9th Grade

Used 20+ times

Računanje kutova iz zadanih trigonometrijskih omjera

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MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Ako je
$\sin\alpha=0.234156$ tada je $\alpha$ jednako

nema rješenja

13°54'19''

13°32'31''

4.086782

MULTIPLE SELECT QUESTION

1 min • 1 pt

Ako je
$\cos\alpha=0.234156$ tada je $\alpha$ jednako ( ima dva rješenja )

nema rješenja

76°27'29''

76°45'81''

76.4581°

MULTIPLE SELECT QUESTION

1 min • 1 pt

Ako je
$\sin\alpha=0.95784$ tada je $\alpha$ jednako ( ima dva rješenja )

nema rješenja

73°30'35''

73.30349'

73°18'13''

MULTIPLE SELECT QUESTION

1 min • 1 pt

Ako je
$\cos\alpha=0.78456$ tada je $\alpha$ jednako ( ima dva rješenja )

nema rješenja

38°32'

38°19'12''

38.31999°

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Ako je
$\sin\alpha=4.0234156$ tada je $\alpha$ jednako

nema rješenja

13°54'19''

13°32'31''

4.086782

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Ako je
$\cos\alpha=4.0234156$ tada je $\alpha$ jednako

nema rješenja

13°54'19''

13°32'31''

4.086782

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Ako je
$\operatorname{ctg}\alpha=4.0234156$ tada je $\alpha$ jednako

0.07034

nema rješenja

76°04'22''

13°57'28''

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Ako je
$tg\alpha=4.0234156$ tada je $\alpha$ jednako

76°2'32''

nema rješenja

76°04'22''

13°57'28''

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Ako je
$\operatorname{ctg}\alpha=0.02557$ tada je $\alpha$ jednako

0.81292

nema rješenja

88°32'7''

1°27'54''

10.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Ako je
$tg\alpha=0.52557$ tada je $\alpha$ jednako ( ima dva rješenja )

27°43'30''

27.72507°

62°16'30''

62.2749°

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Računanje kutova iz zadanih trigonometrijskih omjera

Ako je sin⁡α=0.234156\sin\alpha=0.234156sinα=0.234156 tada je α\alphaα jednako

Ako je cos⁡α=0.234156\cos\alpha=0.234156cosα=0.234156 tada je α\alphaα jednako ( ima dva rješenja )

Ako je sin⁡α=0.95784\sin\alpha=0.95784sinα=0.95784 tada je α\alphaα jednako ( ima dva rješenja )

Ako je cos⁡α=0.78456\cos\alpha=0.78456cosα=0.78456 tada je α\alphaα jednako ( ima dva rješenja )

Ako je sin⁡α=4.0234156\sin\alpha=4.0234156sinα=4.0234156 tada je α\alphaα jednako

Ako je cos⁡α=4.0234156\cos\alpha=4.0234156cosα=4.0234156 tada je α\alphaα jednako

Ako je ctg⁡α=4.0234156\operatorname{ctg}\alpha=4.0234156ctgα=4.0234156 tada je α\alphaα jednako

Ako je tgα=4.0234156tg\alpha=4.0234156tgα=4.0234156 tada je α\alphaα jednako

Ako je ctg⁡α=0.02557\operatorname{ctg}\alpha=0.02557ctgα=0.02557 tada je α\alphaα jednako

Ako je tgα=0.52557tg\alpha=0.52557tgα=0.52557 tada je α\alphaα jednako ( ima dva rješenja )

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Ako je
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Ako je
$\cos\alpha=0.234156$ tada je $\alpha$ jednako ( ima dva rješenja )

Ako je
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Ako je
$\cos\alpha=0.78456$ tada je $\alpha$ jednako ( ima dva rješenja )

Ako je
$\sin\alpha=4.0234156$ tada je $\alpha$ jednako

Ako je
$\cos\alpha=4.0234156$ tada je $\alpha$ jednako

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$\operatorname{ctg}\alpha=4.0234156$ tada je $\alpha$ jednako

Ako je
$tg\alpha=4.0234156$ tada je $\alpha$ jednako

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$\operatorname{ctg}\alpha=0.02557$ tada je $\alpha$ jednako

Ako je
$tg\alpha=0.52557$ tada je $\alpha$ jednako ( ima dva rješenja )