The answer simplified is 56 !!
Answer:
DE ≈ 16.1, ∠E ≈ 60.3°, ∠D ≈ 29.7°
Step-by-step explanation:
use pythagorean theorem:
DE² = 8² + 14² => DE = √8² + 14² ≈ 16.1
use inverse tangent function:
∠E = 
(14/8) ≈ 60.3°
∠D = (8/14) ≈ 29.7°
Answer:
When we have a rectangular point (x, y), the angle between the x-axis and a ray that connects the origin with this point is given by:
Tan(θ) = y/x.
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
So for the point (-4,3) we have:
x = -4
y = 3
√( (-4)^2 + 3^2) = √(16 + 9) = √25 = 5
Then:
Tan(θ) = 3/-4 = -(3/4)
Sin(θ) = 3/5
Cos(θ) = -4/5
And for the other 3 trigonometric functions (the inverses of the 3 above ones) we have:
Ctg(θ) = 1/Tan(θ) = -4/3
Csc(θ) = 1/Sin(θ) = 5/3
Sec(θ) = 1/Cos(θ) = -4/5
Answer:
1
Step-by-step explanation:
Hope this helpsss
