4.5 inverse trigonometric functions
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finding exact value of y
ex: sin(cos^-1(-4/5))--> cos^-1(-4/5)=angle whose cosine is -4/5--> x/r--> sin(cos^-1(-4/5))=3/5
inverse cosine
y=cos^-1x --> cos y=x *only when x is within range domain: [-1, 1] range: [0, π] ex: y=cos^-1(0)--> cos y=0-->y=π/2
inverse sine
y=sin^-1x --> solves sin y=x *only when x is within range domain: (-1, 1) range: [-π/2, π/2] ex: y=sin^-1(-1/2) --> sin y=-1/2 --> y=-π/6
inverse tangent
y=tan^-1x-->tan y=x *only when x is within range domain:(-∞, ∞) range: (-π/2, π/2) ex: tan^-1(1)--> tan y=1--> y=π/4