Answer:
Step-by-step explanation:
g(f(x)) = g(x²) = x²- 3
f(g(x)) = f(x-3) = (x-3)² = x²+ 6x + 9
Step-by-step explanation:
answer what lol there isn't any questions
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
It can be deduced that the triangles are similar because the three internal angles are equal for both triangles.
<h3>How to solve the triangle?</h3>
It should be noted that the triangles are similar because the three internal angles are equal.
In this case, the ratio of the corresponding sides are equal and the corresponding angles are congruent.
The width of the river will be:
300/80 = AB/50
AB = (300 × 50)/80
AB = 187.50 feet.
Learn more about triangles on:
brainly.com/question/17335144
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