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Solve : (tan (2x – 15)° – 1 = 0), for values of x such…

Solve : (tan (2x – 15)° – 1 = 0), for values of x such that (0° leq x leq 360°).

Explanation

(tan (2x – 15)° – 1 = 0 implies tan (2x – 15)° = 1)

((2x – 15)° = tan^{-1} (1) = frac{n pi}{4}, n = 1, 2, …)

(2x – 15 = 45°, 225°, 405°, 585°, 0° leq x leq 360°)

(2x = 60°, 240°, 420°, 600°)

(x = 30°, 120°, 210°, 300°)