1.8 E: Trigonometry

When $x\,$ is small and measured in radians, show that $\tan 3x \cos 2x\,$ can be approximated by $3x - 6x^3$ .

[3]

Hence find an approximate value for $tan⁡0.3cos⁡0.2\tan 0.3 \cos 0.2$ .

[2]

Use your expansion to find an approximate value for $tan⁡0.15cos⁡0.1\tan 0.15 \cos 0.1$ , giving your answer to four decimal places.

[1]

When $x\,$ is small and measured in radians, show that $\tan 3x \cos 2x\,$ can be approximated by $3x - 6x^3$ .

[3]

Hence find an approximate value for $tan⁡0.3cos⁡0.2\tan 0.3 \cos 0.2$ .

[2]

Use your expansion to find an approximate value for $tan⁡0.15cos⁡0.1\tan 0.15 \cos 0.1$ , giving your answer to four decimal places.

1.8 E: Trigonometry Questions