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Trigonometric Functions (The Six Functions (Tangent (tan) ((y/x)),…
Trigonometric Functions
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Reciprocal, Quotient, Pythagorean, and Even-odd identities.
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Examples
(Numbers are in Degrees)(sqrt=square root) cos(75)=cos(45+30)
=cos(45)cos(30)-sin(45)sin(30)
=((sqrt2)/2) x ((sqrt3)/2)-((sqrt2)/2)(1/2)
=((sqrt6)-(sqrt2))/4
tan(pi/12)=tan((pi/3)-(pi/4)
=(tan(pi/3)-tan(pi/4))/(1+tan(pi/3)(tan(pi/4))
((sqrt3)-1)/(1+(sqrt3)(1)
=2-(sqrt3)
tan(105)
=(tan(60)+tan(45))/(1-tan(60)tan(45)
=((sqrt3)+1)/(1-(sqrt3)(1)
=(1+(sqrt3))/(1-(sqrt3)
Multiply by reciprocal
(1+2(sqrt3)+3)/(1-3)
(4+2(sqrt3))/(-2)
=-2-(sqrt3)
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