The value of the trigonometry are sin(Π-Ɵ) = 0.84 and sin(Π + Ɵ) = -0.84
According to the question, there is a circle whose radius is 1 and the ray intersects the circle at point (0.54, 0.84).
We need to find the trigonometric values, that is
sin(Π-Ɵ) = sin(Ɵ) as we know that when the angle is in third quadrant sin is positive.
sin(Π+Ɵ) = -sin(Ɵ) as we know that when the angle is in fourth quadrant sin is negative.
Also note that, sinƟ = perpendicular/hypotenuse
Perpendicular = 0.84 as the perpendicular length will be equal to the length of the y-axis
Hypotenuse = 1 as the hypotenuse will be the radius of the circle which is formed by the ray.
Thus, sinƟ = 0.84/1 = 0.84
Hence, sin(Π-Ɵ) = 0.84
And sin(Π+Ɵ) = -0.84
Learn more about trigonometry here : brainly.com/question/13729598
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Answer:
Height of the cereal box = 18 in.
Step-by-step explanation:
A cereal box is in the shape of a cuboid.
And volume of a cuboid is represented by the expression,
Volume = Length × Width × Height
It's given that volume of the box = 432 in³
Length of the base = 2 in.
Width of the base = 12 in
By substituting these values in the expression,
432 = 2 × 12 × h
h = 
h = 18 in.
Therefore, height of the cereal box is 18 in.
Answer:
we know the plane line has 180°
so here it's 111°-180° = 69°
so co- interior angles are equal so 111°=the olace of 13x-6
You just plug in the values.
[3*(-2)]^3 - (-2 - 4*5)^2
(-6)^3 - ( - 2 - 20)^2
-216 - (-22)^2
-216 - (484)
-216 - 484
-700
9514 1404 393
Answer:
D, F
Step-by-step explanation:
The mnemonic SOH CAH TOA can help you with this. It reminds you ...
Sin = Opposite/Hypotenus
sin(40°) = x/b . . . . matches D
Cos = Adjacent/Hypotenuse
<em> cos(40°) = a/b . . . . no match</em>
Tan = Opposite/Adjacent
tan(40°) = x/a . . . . matches F
