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Simplify-cos-1-sin-x-cos-x-2-5pi-4-lt-x-lt-9pi-4-




Question Number 20509 by Tinkutara last updated on 27/Aug/17
Simplify:  cos^(−1)  (((sin x + cos x)/( (√2)))), ((5π)/4) < x < ((9π)/4)
$${Simplify}: \\ $$$$\mathrm{cos}^{−\mathrm{1}} \:\left(\frac{\mathrm{sin}\:{x}\:+\:\mathrm{cos}\:{x}}{\:\sqrt{\mathrm{2}}}\right),\:\frac{\mathrm{5}\pi}{\mathrm{4}}\:<\:{x}\:<\:\frac{\mathrm{9}\pi}{\mathrm{4}} \\ $$

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