Topic
Q:
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 .
Q:
Halla los valores de las
tricas a partir de la fur
primer cuadrante.
a. \( \tan t=\frac{3 \sqrt{3}}{2} \quad \) b. cc
d. \( \operatorname{sen} t=\frac{1}{2} \quad \) e. se
Q:
3. Point \( B \) is between points \( A \) and \( C \). The distances of \( A \) and \( C \) from point \( B \) are 1000 m
and 2000 m , respectively. Measured from point \( B \), the angle of elevation of point \( C \) is \( 8^{\circ} \)
30 , while that of point \( A \) is \( \theta \). The difference in the elevations of \( A \) and \( C \) is 44.4 m ,
with \( C \) being lower than \( A \). Considering the effects of curvature and refraction,
compute the value of \( \theta \).
Q:
1. Represente de forma gráfica los
siguientes ángulos y su respectivo tipo.
a. \( 35^{\circ} \)
b. \( 45^{\circ} \)
c. \( 2^{\circ} \)
d. \( -19^{\circ} \)
e. \( 340^{\circ} \)
f. \( 480^{\circ} \)
g. \( -60^{\circ} \)
h. \( -78^{\circ} \)
i. \( -180^{\circ} \)
j. \( -100^{\circ} \)
k. \( 180^{\circ} \)
l. \( 270^{\circ} \)
Q:
2. Sistema de medición Angular ( 2.5 puntos):
2.1 Convierta \( \frac{5 n}{1800} \pi \) rad en grados, minutos y segundos sexagesimales y a gradianes.
minutos y segundos centesimales.
2.2 Sabiendo que \( 12^{\circ} 30^{\circ} 36^{\prime \prime} \) equivalen \( x^{g} y^{m} z^{5} \) hallar el valor de \( n \cdot(x+y+z) \)
2.3 Expresar en el sistema centesimal \( n^{\circ} \)
2.4 Expresar en gradianes, minutos y segundos \( \left(\frac{n+n^{2}}{1000}\right)^{g} \)
2.5 (*) Sabiendo que \( n^{g} \) equivalen a \( \frac{1}{B} \pi \) rad. Hallar el valor de \( \sqrt[100]{A^{8}} \)
Q:
If \( \csc \theta=\frac{\sqrt{125}}{10} \), what is \( \tan \theta \) ?
Q:
En cierta clase de matemáticas un estudiante no
comprende muy bien un ejercicio, entonces amable-
mente le pregunta a su compañero de carpeta, por
lo tanto, ambos se embarcan en la solución del pro-
blema, el cual decía: Si sen \( 3 \alpha=1 \) y sen \( 3 \beta=-1 \)
donde \( 3 \alpha \) y \( 3 \beta \) son ángulos cuadrantales (positivos)
y menores que una vuelta, determine:
\( \begin{array}{ll}\text { A) } 140^{\circ} & \alpha+\beta \\ \text { C) } 130^{\circ} & \text { B) } 120^{\circ}\end{array} \)
Q:
\( \frac{1}{\csc \theta}=\frac{1}{\sec \theta}=\square \), and \( \frac{1}{\cot \theta}=\square \)
Q:
2. Si \( \theta=10^{\circ} \), halle el valor de
\[ R=2 \operatorname{sen} 27 \theta-\cos 18 \theta-\sec 36 \theta \]
\( \begin{array}{ll}\text { A) }-2 & \text { B) }-1 \\ \text { C) } 0 & \text { D) } 1\end{array} \)
Q:
1. Halle el valor de
\[ \mathrm{P}=\frac{\tan 0^{\circ}-\csc 270^{\circ}}{\cos 90^{\circ}-\sec 180^{\circ}} \]
\( \begin{array}{ll}\text { A) } 2 & \text { B) }-1 \\ \text { C) }-2 & \text { D) } 1\end{array} \)
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