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Matemātika I 11 (2024./2025.m.g.)

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Vienādsānu trijstūrī sānu malas garums ir 6 cm, bet leņķi pie pamatiem ir 45 grādus lieli, cik liels ir pamata garums?

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Nosakiet dotās trigonometriskās funkcijas zīmi:

        1.  sin 150°

        2.  cos 150°

        3.  tg 149°

        4.  ctg 269°

        5.  sin(- 290°)

Atbilžu varianti sakārtoti pēc kārtas no 1 līdz 5.

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Izsaki doto leņķu lielumus grādos:

              space 1. space space straight pi over 12
space 2. space space space fraction numerator 2 straight pi over denominator 9 end fraction
space 3. space space space fraction numerator 5 straight pi over denominator 6 end fraction
space 4. space space space space fraction numerator 3 straight pi over denominator 2 end fraction

                   

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Salīdziniet trigonometrisko funkciju vērtības:

                                   cos (- 56º) un cos56º

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Salīdziniet trigonometrisko funkciju vērtības:

                             tg100º  un  tg 10º

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Izsakiet doto leņķu lielumus radiānos:

              1.     30° =

              2.     70° =

              3.     120°= 

              4.     570° =

               5.    720° =

                   

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Nosaki, kurā kvadrantā atrodas leņķis 323°

                   

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Salīdziniet trigonometrisko funkciju vērtības:

                           cos10° un cos130°

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Atrisini doto nevienādību, izmantojot intervālu metodi! (5p - 1p par katru būtisko darbību)

fraction numerator x minus 1 over denominator 2 end fraction plus fraction numerator 3 over denominator x plus 2 end fraction less or equal than fraction numerator 2 x plus 3 over denominator 4 end fraction plus fraction numerator x over denominator x plus 2 end fraction

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begin mathsize 14px style N e v i e n ā d ī b a s space space fraction numerator 3 space minus space 2 x over denominator 3 space minus space x end fraction space greater than space 4 space space space a t r i sin ā j u m u space k o p a space i r space.... end style

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