In the following right-angled triangle problems

MATHEMATICS · Multi-part · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

In the following right-angled triangle problems, θ\theta is an acute angle. Given sec⁡θ=1312\sec\theta = \dfrac{13}{12}, answer the questions below. (i) Calculate cos⁡θ\cos\theta. (ii) Determine sin⁡θ\sin\theta in exact fractional form. (iii) Find tan⁡θ\tan\theta. (iv) Hence find cot⁡θ\cot\theta.

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