We know that
2π/3 radians-------> convert to degrees-----> 2*180/3---> 120°
120°=90°+30°
Part a) Find <span>sin(2π/3)
</span>sin(2π/3)=sin (90°+30°)
we know that
sin (A+B)=sin A*cos B+cos A*sin B
so
sin (90°+30°)=sin 90*cos 30+cos 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
sin (90°+30°)=1*√3/2+0*1/2-----> √3/2
the answer part a) is
sin(2π/3)=√3/2
Part b) Find cos (2π/3)
cos (2π/3)=cos (90°+30°)
we know that
cos (A+B)=cos A*cos B-sin A*sin B
so
cos (90°+30°)=cos 90*cos 30-sin 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
cos (90°+30°)=0*√3/2-1*1/2----> -1/2
the answer part b) is
cos (2π/3)=-1/2
469 is the perece to equivalent to 75 becuase it’s bigger
The area of Vivian’s garage door is 62.5 square feet
<h3>Area of composite shape.</h3>
The Vivian garage is made up of a trapezoid and a rectangle. The area of the door is expressed as;
Area = Area of rectangle + area of trapezoid
Area = (5 * 8) + 0.5(7 + 8)*3
Area= 40 +22.5
Area = 62.5 square feet
Hence the area of Vivian’s garage door is 62.5 square feet
Learn more on composite shapes here: brainly.com/question/8370446
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You can figure out what four times eight is by adding eight and eight(16) and doubling it (32)
The answer is B because I did the math
