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HPC WB3.6 - Double Angle Identities

Last updated over 5 years ago

8 questions

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Question 1

1.

Find \tan 2\theta when \sin \theta = -\frac{4}{5} and \pi \leq \theta < \frac{3\pi}{2}.

Question 2

2.

FInd \cos 2\theta when \sin \theta = \frac{4}{5} and 0 \leq \theta < \frac{\pi}{2}.

Question 3

3.

Find \cos 2\theta when \tan\theta = -\frac{4}{3} and \frac{3\pi}{2} \leq \theta < 2\pi.

Question 4

4.

Find \cos 2\theta when \sin\theta=\frac{15}{17} and \frac{\pi}{2} \leq \theta < \pi.

Question 5

5.

Find \sin 2\theta when \cos\theta = -\frac{3}{5} and 90 \leq \theta < 180.

Question 6

6.

Find \sin 2\theta when \sin\theta = \frac{4}{5} and 0 \leq \theta < 90.

Question 7

7.

Find \tan 2\theta when \sin\theta = -\frac{1}{2} and 180 \leq \theta < 270.

Question 8

8.

Find \tan 2\theta when \sin\theta = -\frac{15}{17} and 270 \leq \theta < 360.