Advanced Algebra/Trig Lesson 1.7
Inverse trig functions
Y = Arcsin X
range [-pi/2, pi/2]
If x is a negative number, the angle y is a positive Quad I angle.
If x is a positive number, the angle y is a negative Quad IV angle.
Y can also equal -pi/2, 0, and pi/2

Y = Arctan X
range (-pi/2, pi/2)
If x is a positive number, the angle y is a positive Quad I angle.
If x is a negative number, the angle y is a negative Quad IV angle.
Y can also equal 0. Note that the range excludes -pi/2 an pi/2 as values for y.

Y = Arccos X
range [0,pi]
If x is a positive number, the angle y is a positive Quad I angle.
If x is a negative number, the angle y is a positive Quad Ii angle.

PROBLEM SOLVING TIPS :)
1. KNOW YOUR UNIT CIRCLE.
2. For problems such as sin(arcsin 1/2) the answer is 1/2. Rationale: If the trig function is outside the parenthesis, the trig function and the inverse cancel one another out.
3. for problems such as arcsin (sin 3pi) YOU CANNOT CANCEL
Work inside the parenthesis first to get 0. Next find arcsin 0.
Solution: Y = 0.

I will be online between 7 and 9 pm tonight. The time on this blog is not set correctly, so you will need to look at you clock to know if I will be online.

Important stuff: Quiz Thursday on 1.5 - 1.8
Test Friday on 1.5 - 1.8 with major review problems from 1.1 - 1.4

See ya'll tomorrow
Mrs. S