Trigonometry and Modelling

Question 12

a.

Show that the equation $[6sin⁡θcos⁡θcos⁡θ+sin⁡θ=(4+2sec⁡2θ)(cos⁡θ−sin⁡θ)[\frac{6 \sin \theta \cos \theta}{\cos \theta + \sin \theta} = (4 + 2\sec 2\theta)(\cos \theta - \sin \theta)$ can be written in the form $\sin 2\theta - 4 \cos 2\theta = 2$

[5]

b.

Hence solve for $\pi$ $[6sin⁡xcos⁡xcos⁡x+sin⁡x=(4+2sec⁡2x)(cos⁡x−sin⁡x)[\frac{6 \sin x \cos x}{\cos x + \sin x} = (4 + 2\sec 2x)(\cos x - \sin x)$ giving your answers to 3 significant figures.

[5]

Trigonometry and Modelling

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Question 12

a.

Show that the equation $[6sin⁡θcos⁡θcos⁡θ+sin⁡θ=(4+2sec⁡2θ)(cos⁡θ−sin⁡θ)[\frac{6 \sin \theta \cos \theta}{\cos \theta + \sin \theta} = (4 + 2\sec 2\theta)(\cos \theta - \sin \theta)$ can be written in the form $\sin 2\theta - 4 \cos 2\theta = 2$

[5]

b.

Hence solve for $\pi$ $[6sin⁡xcos⁡xcos⁡x+sin⁡x=(4+2sec⁡2x)(cos⁡x−sin⁡x)[\frac{6 \sin x \cos x}{\cos x + \sin x} = (4 + 2\sec 2x)(\cos x - \sin x)$ giving your answers to 3 significant figures.

[5]

Trigonometry and Modelling

Question 12

Trigonometry and Modelling Questions

Trigonometry and Modelling

Question 12

Trigonometry and Modelling Questions