AP

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

Problem

Let θ=17π6\theta=\dfrac{17\pi}{6}. (i) Express θ\theta as an angle in radian measure lying between 00 and 2π2\pi. (ii) Determine the signs of sin⁡θ\sin\theta and cos⁡θ\cos\theta without using a calculator. (iii) Hence find the exact value of sin⁡θ+cos⁡θ\sin\theta+\cos\theta.

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