Need a new fresh answer to this question don't copy and paste other peoples work please also will make brainleist
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Answer:
Length of the bold arc = 72.63 ft
Step-by-step explanation:
Length of the arc =
Here, θ = angle subtended by the arc at the center
r = Radius of the circle
Since, angle subtended by the bold arc at the center = 360 - 73
= 287°
And radius of the circle 'r' = 14.5 ft
By substituting these values in the formula,
Length of the bold arc =
= 72.632
≈ 72.63 ft
Therefore, length of the bold arc = 72.63 ft
Answer:
cos(a + b) =
Step-by-step explanation:
cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]
cos(a) =
cos(b) =
Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.
sin(a) = [Since, sin(a) =
]
=
=
Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.
sin(b) =
=
=
By substituting these values in the identity,
cos(a + b) =
=
=
=
Therefore, cos(a + b) =