Find all values of x in the interval [0, 2π] such that cos t sin t+ cost+ sint+ 1 = 1.
Express answer(s) to three decimal places.

Question

Find all values of x in the interval [0, 2π] such that cos t sin t+ cost+ sint+ 1 = 1.
Express answer(s) to three decimal places.

anonymous · Answer

"Hint:The equation should be (cos x)(sin x) + cos x + sin x + 1 = 1.

Now graph y = (cos x)(sin x) + cos x + sin x + 1 and graph y = 1. Set your plotting Range for x → [0, 7] and y → [-1, 4]. You are asked for answers in the interval [0, 2π], that is why I choose x → [0, 7]. (2π → 2(3.14) → 6.28 → 7.) You are looking for the points where the two graphs cross. Use the Trace “button”.

You could set the equation = 0 → (cos x)(sin x) + cos x + sin x = 0. If you graph this equation you are looking for places where the graph crosses the x-axis."