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Home Question Bank Math Trigonometry Archive 2024 December 22

Trigonometry Questions from Dec 22,2024

Browse the Trigonometry Q&A Archive for Dec 22,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Вариант 6 1. Представить в тригонометрической и в показательной форме число \( z=-1-i \sqrt{3} \). 6. \( \forall \alpha, \beta \in \mathbb{R} \) için \( m=-3 \cos \beta+\sin \alpha-1 \) olduğuna göre, \( \begin{array}{l}m \text { nin en büyük ve en küçük tam sayı } \\ \text { değerleri nedir? }\end{array} \) 4. Ölçüsü \( -\frac{125 \pi}{4} \) radyan olan açının esas ölçüsü kaçtır? Pa lontano Calcola l'altezza di un campanile, Sapendo che da un bar distante 80 metri da esso si vede la sun cima secondo un angolo di \( 42^{\circ} \). Da un punto \( P \) esterno a una circonferenza di centro \( C \) si mandano le tangenti \( P A \) e \( P B \). Sapen- do che \( \cos \wedge \widehat{P B}=-\frac{7}{25} \) e che \( P C=15 \mathrm{~cm} \), de- termina i valori delle funzioni goniometriche de- gli angoli \( C \widehat{P A} \) e \( P \widehat{C} A \) e il raggio della circonfe- renza. \( \left[\sin C P A=\frac{4}{5} ; \sin P \widehat{C A}=\frac{3}{5}, r=12 \mathrm{~cm}\right] \) Defina a função seno em termos de um triângulo retângulo e explique seu significado geométrico. In un triangolo rettangolo l'ipotenusa è lunga 20 cm e fra gli angoli acuti \( \beta \) e \( \gamma \) vale la relazione \( \sin \beta=2 \sin \gamma \). Trova l'area del triangolo. \[ \left[80 \mathrm{~cm}^{2}\right] \] тржнения Представьте в виде суммы синусов или косинусов. \( \begin{array}{ll}\text { а) } \sin 48^{\circ} \sin 22^{\circ} \text {; } & \text { в) } \sin 56^{\circ} \cos 18^{\circ} ; \\ \text { б) } \sin \frac{3 \pi}{12} \cos \frac{\pi}{8} & \text { г) } \cos \frac{\pi}{8} \cos \frac{5 \pi}{12}\end{array} \) Solve the following expression \( \cos 22,5^{\circ} \) what is the value of \( \cos 22,5^{\circ} \)
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