Question

1. Why does ?????? (sin (7pi/6)) give an answer, but ??? (arcsin (7pi/6)) is undefined?

2. Solve 2 cos theta −?= 0 for 0°≤ theta < 360°

Answer 1

1. Jorcsin (sin 17) gives answer. over cause, sinx is a trigana metric function, continuous all R. Furthermore sina is bounded a finite value, and it is in Ew] -1 sinnsl totr So sin 15 6 Now domain of are sinse is. [-] arcsin (sin 27 is defeined, ie, it gives 50 answer. Now, sin care sin (75 53) is undefined t IT 6 Because 7.37 27 > 1 6 but domain of are sin ae ; [l]. and 22 is out -side the domain. so the function is not defined. so y sin (are sin (D) is undefined.

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