Math  /  Trigonometry

QuestionFind all solutions of the equation in the interval [0,2π)[0,2 \pi). 1+cotx=cscx\sqrt{1+\cot x}=\csc x
Write your answer(s) in radians in terms of π\pi. If there is more than one solution, separate them with commas. x=x= \square

Studdy Solution
Combine all solutions and ensure they are within the interval [0,2π)[0, 2\pi):
The solutions are:
x=π2,3π2,π4,5π4x = \frac{\pi}{2}, \frac{3\pi}{2}, \frac{\pi}{4}, \frac{5\pi}{4}
The solutions are:
x=π4,π2,5π4,3π2 x = \frac{\pi}{4}, \frac{\pi}{2}, \frac{5\pi}{4}, \frac{3\pi}{2}

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