Answer:
3/5
Step-by-step explanation:
sin theta=opposite/hypotenuse
4/5=opposite/hypotenuse
therefore opposite=4 and hypotenuse=5
for adjacent
using pythagoras theorem
a^2+b^2=c^2
opposite^2 + adjacent^2 =hypotenuse^2
4^2 + adjacent^2 =5^2
16 + adjacent^2 =25
adjacent^2 =25-16
adjacent =
adjacent=3
cos theta=adjacent/hypotenuse
=3/5
therefore the value of cos theta is 3/5
Answer:
The area of the sector (shaded section) is 29.51 .
Step-by-step explanation:
Area of a sector = (θ ÷ 360)
where θ is the central angle of the sector, and r is the radius of the circle.
From the diagram give, diameter of the circle is 26 m. So that;
r =
= = 13 m
θ = 360 - (180 + 160)
= 360 - 340
=
Thus,
area of the given sector = x
x
= x x
x 169
= 29.5079
The area of the sector (shaded section) is 29.51 .
