Mathematics

Mathematics

Problem

The value of tan⁡θ\tan \theta is 35\dfrac{3}{5} and θ\theta lies in the first quadrant. (i) Find sin⁡θ\sin \theta and cos⁡θ\cos \theta. (ii) Hence calculate sin⁡2θ\sin 2\theta and cos⁡2θ\cos 2\theta. (iii) Using your answer to part (ii), determine sin⁡2θ\sin^2\theta in exact fractional form.

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