You are given an equation of the form cos x = k wherek 2 0. cos x = 0.7 (a) Use the graph shown below to estimate (to the nearest 0.05) a root of the equation within the interval osxS T/2. 1.0 0.9- 0.8 0.7 0.6- 0. 0.4 0.3 0.2 0.1- 0.1 0.2 0.3 0.4 0.5 0.6 07 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 y = cos x, 0 SxS T/2 (b) Use a calculator to obtain a more accurate value for the root in part (a). Round the answer to four decimal places. (c) Use the reference-angle concept and a calculator to find another root of the equation (within the interval oSxS 27). Round the answer to four decimal places. (d) Use the reference-angle concept and a calculator to find all solutions of the equation cos x = -k within the interval OSXS 2n. Again, round the answers to four decimal places. (Enter your answers as a comma-separated list.)

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.