It is given that

$(sin⁡θ+6cos⁡θ)2+(3sin⁡θ−2cos⁡θ)2=28(\sin\theta + 6\cos\theta)^2 + (3\sin\theta - 2\cos\theta)^2 = 28$

and that $\theta\,$ is obtuse.

Find the exact value of $sin⁡θ\sin\theta$ . Fully justify your answer.

Find the exact value of $cos⁡2θ\cos 2\theta$ .

Find the exact value of $tan⁡θ\tan\theta$ , giving your answer in surd form.

It is given that

$(sin⁡θ+6cos⁡θ)2+(3sin⁡θ−2cos⁡θ)2=28(\sin\theta + 6\cos\theta)^2 + (3\sin\theta - 2\cos\theta)^2 = 28$

and that $\theta\,$ is obtuse.

Find the exact value of $sin⁡θ\sin\theta$ . Fully justify your answer.

Find the exact value of $cos⁡2θ\cos 2\theta$ .

Find the exact value of $tan⁡θ\tan\theta$ , giving your answer in surd form.

1 Pure Mathematics

1 Pure Mathematics Questions