It's sort of late,but i still managed to remember to do this ;)
The lesson learned this week included 10 new formulas in order to solve these problems. You could memorize them to study or use cards.
Here are all of the formulas used to solve these problems:
sin2alpha= 2sinalphacosalpha
cos2alpha= cos^2A-sin^2A
sin2alpha= 1-2sin^2A
sin2alpha= 2cos^2alpha-1
tan2alpha= 2tanalpha/1-tan^2alpha
sin alpha/2= +/- square root of 1-cosalpha/2
cos alpha/2= +/- square root of 1+ cosalpha/2
tan alpha/2= +/- square root of 1-cosalpha/1+cosalpha
square root of 1-cosalpha/1+cosalpha= sinalpha/1+cosalpha
sinalpha/1+cosalpha= 1-cosalpha/sinalpha
Example problem
2sin(45)cos)
sin2(45)=sin(90)
You are just simplifying this problem.
1-cos(10)/ sin(10)
tan(10)/2=tan(5)
For this problem cos and sin turn into tan.
Simplify:
2cos^2(20)-1
cos2(20)= cos40
=4 square root of 5
LOOVEYALL:)
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