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Home Question Bank Math Trigonometry Archive 2025 January 21

Trigonometry Questions from Jan 21,2025

Browse the Trigonometry Q&A Archive for Jan 21,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\( f(x)=\cos (4 x-\pi) \) funksiyaning eng kichik musbat davrini toping. \( \begin{array}{llll}\text { A) } \frac{\pi}{4} & \text { B) } \frac{\pi}{2} & \text { C) } \frac{3 \pi}{4} & \text { D) } \pi\end{array} \) Hisoblang: \( 3 \operatorname{arctg} 5+3 \operatorname{arctg} \frac{1}{5} \) \( \begin{array}{llll}\text { A) } \frac{\pi}{6} & \text { B) } \frac{\pi}{2} & \text { C) } \frac{3 \pi}{2} & \text { D) } \frac{5 \pi}{3}\end{array} \) Indien \( 3 \tan \theta-4=0 \) en \( \cos \theta<0 \), bereken sonder die gebruik van ' \( n \) sakrekenaar en met behulp van ' \( n \) diagram, die waarde van: \( \begin{array}{ll}\text { (a) } \frac{\sin \theta}{\cos \theta} & \text { (b) } 10 \sin \theta-25 \cos ^{2} \theta\end{array} \) Indien \( \sin \mathrm{A}=\frac{2 \sqrt{6}}{5} \) en \( \mathrm{A} \in\left[90^{\circ} ; 360^{\circ}\right] \), bereken sonder die gebruik van ' n sakrekenaar en met behulp van ' \( n \) diagram, die waarde van \( 15 \tan A \cdot \cos \mathrm{~A} \) 234. Izračunajte vrednost izraza \( \sin ^{4} x+\cos ^{4} x \), če je \( \sin ^{2} x \cdot \cos ^{2} x=\frac{1}{3} \). 1 Solve the equation \( -0.4 \cos t+1=1.3 \) where \( 301^{\circ} \leq t \leq 700^{\circ} \). 19 Résous dans \( \mathbb{R} \), l'équation \( \cos \left(2 x+\frac{\pi}{3}\right)=\cos \frac{5 \pi}{6} \) The angle \( \theta \) is in Quadrant I with \( \sec (\theta)=\frac{5}{3} \). Which equation could be used to find \( \tan (\theta) \) ? \( \begin{array}{l}\frac{5}{3}-\tan (\theta)=1 \\ 1-\left(\frac{5}{3}\right)^{2}+\tan ^{2}(\theta)=1 \\ 1+\tan ^{2}(\theta) \\ 1+\tan ^{2}(\theta)=\left(\frac{5}{3}\right)^{2}\end{array} \) r) اوجد القيمة الدقيقة لـ \( 90^{\circ}<\theta<180^{\circ} \) ، \( \cos \theta=-\frac{1}{3} \) ، \( \sin 2 \theta \) إذاكان Using surd forms, evaluate; \( \frac{3 \tan 60^{\circ}-2 \cos 30^{\circ}}{\tan 30^{\circ}} \) Which equation will produce a graph with an amplitude of 2 and a period of \( \pi \) ? \( y=\frac{1}{2} \sin (2 x) \) \( y=\frac{1}{2} \sin \left(\frac{x}{2}\right) \) \( y=2 \sin (2 x) \) \( y=2 \sin \left(\frac{x}{2}\right) \)
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