kingyogii
07.12.2020 •
Mathematics
“Determine the values for angle a, b, c and d in the diagram below” Help me with this question pleas
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Ответ:
answer
m = (√3)/2
θ = 30°
explanation
the diagram in the question is unit circle.
part 1
we can find the value of m using pythagoras theorem.
c² = a²+b²
1² = (1/2)² +m²
m² = 1 - 1/4
=3/4
m = √(3/4)
=(√3)/2
part 2
to find the angle we can use the sine rule
sin θ = (1/2)/1
= 1/2
θ = sin⁻¹(1/2)
= 30°