AboutAzeem Hussain Expertise I can answer virtually any kind of question dealing with of Math 536 and below, my forte being in parabolic functions and analytical geometry.
I'm currently learning Linear Algebra, and cannot answer questions that deal with subject matter more advanced than that.
Experience I am neither a professor nor a teacher of this subject. I am merely a student who is gifted at mathematics and enjoys being of service to his community. I frequently tutor people in math and the results are usually great.
Publications Reflections, Riverside School Board (2005, 2006)
Education/Credentials Diploma of Secondary Studies from Chambly Academy High School, and IBO-MYP certificate as well. My lowest mark on a high school math final was 97%, peaking at 99% in 2006 and 2007 (second-highest Math 436 mark in the province). Being a Quebecer, I am fluent in English and French and can respond to questions easily in both languages.
Awards and Honors Pascal Math Competition, School Champion(2007)
Question the question is: Find all the angles (A) (between 0 and 2pi) that sastisfy the equation sineA = -1
i used the inverse sine and found A = -1.5708. but are there multiple answers? and how can i convert my answer found to be between 0 and 2pi?
thanks so much if u can help
Answer Hi Olivia!
The easiest way to visualize this is to draw a circle centred at the origin with a radius of 1. sin A corresponds to the y-value. By observation, there is only one point where the y-value is -1: on the y-axis joining quadrants 3 and 4.
The angle is measured from the line segment in the first quadrant from (0,0) to (1,0) (3 o'clock if you'd like to think of it like that) to the point(s) in question. Remember, there are 2π radians in one revolution. Your point is 3/4 of one revolution so 3/4(2π)=3π/2. This is between 0 and 2π. (Measuring the angle from the negative will give -π/2, but that does not land within the desired interval.)
With exception of the extremities which will give one answer (either 1 or -1), the sine or cosine of any other angle will have two values between 0 and 2π. For example, there are two places where sin A=0.5: at π/6 in quadrant 1 and at 5π/6 in quadrant 2.
