Question

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If sec 0= √ 2, find the two values of O between
0° and 360°.

Answer 1

`\sec \theta = \sqrt 2\\\\\implies \cos \theta = \frac 1{\sqrt 2}\\\\\implies \theta = 2n\pi \pm \frac{\pi}4\\\\\\\text{In the interval}~ 0 < \theta < 2\pi, \\\\\theta = \frac{\pi}4, \frac{7\pi}4~~ \text{or}~~ \theta = 45^(\circ), 315^(\circ)`