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Home Question Bank Math Trigonometry Archive 2024 November 14

Trigonometry Questions from Nov 14,2024

Browse the Trigonometry Q&A Archive for Nov 14,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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IDENTIDADES TRIGONOMÉTRICAS Demostrar las siguientes identidades 1. \( \cos \vee \tan v=\operatorname{sen} \downarrow \) 2. \( \cot \downarrow \cdot \tan v=1 \) 3. \( \operatorname{sen} \downarrow \cot v+\cos v \tan v=\operatorname{sen} v+\cos v \) 4) \( \operatorname{Si} \tan \Phi=\frac{\sqrt{6}}{3} \), donde " \( \Phi \) " es un ángulo agudo, calcular: \( P=\sqrt{3} \operatorname{Sec} \Phi+\sqrt{2} \operatorname{Csc} \Phi \) Use the sum or difference formula for tangent to find the exact value for \( \tan \left(-165^{\circ}\right) \) \( \tan \left(-165^{\circ}\right)=\square \) Simplify and write the trigonometric expression in terms of sine and cosine: \( \frac{2+\tan ^{2} x}{\sec ^{2} x}-1=g(x) \) \( g(x)= \) \&. Du vet attcosv = 0,55. Beräkna vinkeln. 2. Un patinador hará una pirueta sobre una rampa cuyo largo es de 2 metros. Si la altura de la rampa es de 1 metro, ¿Cuál es el ángulo de inclinación de la rampa? 2) Desde lo alto de un globo se observa un pueblo A con un ángulo de \( 50^{\circ} \), y otro B, situado al otro lado y en línea recta, con un ángulo de \( 60^{\circ} \). Sabiendo que el globo se encuentra a una distancia de 6 kilómetros del pueblo A y a 4 del pueblo B , calcula la distancia entre los pueblos A y B. 1. Un carpintero compra una escalera de 7.62 m y en las instrucciones de uso dice que la posición más segura para ubicarla sobre la pared es cuando el pie de la escalera se encuentra a 1.82 m de la pared. ¿Qué ángulo forma la escalera con el suelo? wo buildings are on the opposite sides of a highway. From the ground floor of one building, the angle of elevation of Daisy's room is \( 28^{\circ} 40^{\prime} \) and the angle of elevation of Immanuel's room is \( 71^{\circ} 40^{\prime} \). Find the distance between the two buildings and the height of Immanuel's room from the ground if the distance between the two rooms is 125 ft . 4. The constants K and C for a certain instrument were 100 and 0 respectively. The ground makes a uniform slope of \( 12 \% \) from point A to point B . With the instrument at A and staff at B , readings were taken but due to obstruction in the line of sight, only the upper reading was recorded to be 1.915 m . If the vertical angle of the instrument was \( 6^{\circ} 43^{\prime} \) and height of instrument above A was 1.82 m , determine the horizontal distance between A and B .
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