Mathematics

Mathematics

Problem

For an acute angle θ\theta, tan⁡θ=512\tan\theta = \dfrac{5}{12}. Answer the following questions. a. (i) Find sec⁡θ\sec\theta in simplest fractional form. b. (ii) Hence find sin⁡θ\sin\theta and cos⁡θ\cos\theta. c. (iii) Calculate (sin⁡θ+cos⁡θ)(\sin\theta + \cos\theta) correct to three decimal places.

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