Difference between revisions of "Angle Addition Formulas (Trigonometry)"
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| − | + | <center><asy> | |
| + | real a,b,c; | ||
| + | a=0.4924; | ||
| + | b=0.5467; | ||
| + | c=a+b; | ||
| + | pair A,B,C,D,E,F; | ||
| + | A=(0,0); | ||
| + | D=(cos(c),sin(c)); | ||
| + | B=(cos(a)*cos(b),0); | ||
| + | C=(cos(a)*cos(b),sin(a)*cos(b)); | ||
| + | draw(A--B--C--D--cycle); | ||
| + | draw(A--C); | ||
| + | E=foot(D,A,B); | ||
| + | draw(D--E); | ||
| + | F=foot(C,D,E); | ||
| + | draw(C--F); | ||
| + | draw(anglemark(B,A,C,4)); | ||
| + | draw(anglemark(C,A,D,5.5)); | ||
| + | label("$\alpha$", A ,7*dir(a*30)); | ||
| + | label("$\beta$", A ,9*dir(b*45+ a*30)); | ||
| + | </asy></center> | ||
Revision as of 16:03, 26 November 2014
![[asy] real a,b,c; a=0.4924; b=0.5467; c=a+b; pair A,B,C,D,E,F; A=(0,0); D=(cos(c),sin(c)); B=(cos(a)*cos(b),0); C=(cos(a)*cos(b),sin(a)*cos(b)); draw(A--B--C--D--cycle); draw(A--C); E=foot(D,A,B); draw(D--E); F=foot(C,D,E); draw(C--F); draw(anglemark(B,A,C,4)); draw(anglemark(C,A,D,5.5)); label("$\alpha$", A ,7*dir(a*30)); label("$\beta$", A ,9*dir(b*45+ a*30)); [/asy]](http://latex.artofproblemsolving.com/9/9/7/99797bd749c37bd55cf57e2bbc212922683422ea.png)
