Prove the identity. \[ \csc ^{2} x-\cot ^{2} x=1 \] Note that each Statement mus

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 )

\( 2 \cos ^ { 2 } x - 1 \geq 0 \)

Question 36, 3.4.7 Part 1 of 3 Suppose that point \( P \) is on a circle with radius \( r \), and ray \( O P \) is rotating with angular speed \( \omega \). Complete parts (a) through (c). \( \mathrm{r}=8 \mathrm{~cm}, \omega=\frac{\pi}{8} \) radian per sec, \( t=3 \mathrm{sec} \)

\( \tan \theta=\frac{8}{15} \), given that \( \theta \) is in quadrant III

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