Formative Assessment - 2

Find, in terms of  $\pi$  , the arc length of a sector of radius 8 cm and angle  $\frac{\pi}{4}$ .     [1]

Find, in radians, the angle of a sector of a radius 5 cm and Perimeter 19.2 cm. [2]

Find the perimeter of the sector. [2]

Find the area of the shaded region.                                  [2]

Find, in terms of  $\pi$  , the area of a sector of radius 10 cm and angle  $\frac{2\pi}{5}$ radians. [1]

Find, in radians, the angle of a sector of a radius 5 cm and arc length 10 cm. [2]

Given that  $\tan\theta=\frac{3}{4}$  and that θ is acute, find the exact value of  $2\sin\theta\cos\theta$  .     [2]

Given that  $\sin\theta=\frac{2}{5}$  and that θ is obtuse, find the value of  cosθ.    [2]

Tick the correct answer(s).         [1]

Which of the following is the period of the function  $\sin2\theta$  ?             [1]

Which of the following is the graph for  $2+3\sin\theta$  ?            [2]

Which of the following is the maximum and the minimum value of the function  $3+2\cos\theta$  ?           [2]