When the function \( f(x)= \) sin \( x \) is reflected across the \( y \)-axis, identify the coordinates of the reflected point of \( \left(\frac{\pi}{2}, 1\right) \) across the \( y \)-axis. (1 point) \( \left(\frac{-\pi}{2},-1\right) \) \( \left(\frac{-\pi}{2}, 1\right) \) \( \left(\frac{\pi}{2},-1\right) \) \( \left(\frac{\pi}{2}, 1\right) \)

\( \tan \theta=-\frac{3}{4} \), given that \( \theta \) is in quadrant IV

\( \theta=\frac{2 \pi}{7} \) radians, \( \omega=\frac{2 \pi}{3} \) radian per minute Use formula \( \omega=\frac{\theta}{t} \) to find the value of the missing variable.

2. The angles of elevation of the top of a tree from \( P \) and \( Q \) which are 30 m apart are \( 22^{\circ} \) and \( 32^{\circ} \) respectively. Given that the two points are on the same side of the tree and on straight line, determine the height of the tree. ( 4 mks )

As part of her assignment, Devi has to use her clinometer to measure the height of an office tower \( T A \). From a point \( B \), she observes that angle \( T B A=34^{\circ} \). She then walks 25 m away from the office tower to a point \( C \) and observes that angle \( T C A=26^{\circ} \). Find the height of the sfice tover.

Дан треугольник \( A B C \), в котором \( \angle A+\angle B=90^{\circ} \), а \( \sin B=\frac{2 \sqrt{5}}{10 \sqrt{10}} \) Найди \( \cos ^{2} B \).