Answer: option C
Step-by-step explanation:
The diagram of the triangle is shown in the attached photo. The triangle is a right angle triangle ABC
Assuming the given angle is #,
Recalling the trigonometric ratio,
tan # = opposite / adjacent
If tan # = 4, it means
opposite / adjacent = 4/1
Therefore, opposite = 4 and adjacent = 1
Applying Pythagoras theorem,
Hypotenuse^2 = opposite ^2 + adjacent ^2
Hypotenuse = AC
Opposite = 4
Adjacent = 1
AC^2 = 4^2 + 1^2 = 17
AC = ± √17
To determine cos #, we would apply another trigonometric ratio,
Cos# = adjacent /hypotenuse
Cos# = 1/±√17
Cos # =-1 /√17 or 1/√17
Answer:
See below!
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Yes!
1) Centre
2) Radius {Plural: Radii}
3) Diameter
4) Arc
5) Pi is the ratio of a circle's circumference to its diameter
6) 3.14
7) 6m
8) 7 in
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥
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Answer:
Density = 10,490 g/m³
Step-by-step explanation:
Density = mass ÷ volume
here mass = 73,430 g
volume = 7 m³
density = 73,430 ÷ 7
= 10490 g/m³
Density = 10,490 g/m³
Answer:
Step-by-step explanation:sin
(
θ
)
=
40
41
Use the definition of sine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
sin
(
θ
)
=
opposite
hypotenuse
Find the adjacent side of the unit circle triangle. Since the hypotenuse and opposite sides are known, use the Pythagorean theorem to find the remaining side.
Adjacent
=
√
hypotenuse
2
−
opposite
2
Replace the known values in the equation.
Adjacent
=
√
(
41
)
2
−
(
40
)
2
Simplify
√
(
41
)
2
−
(
40
)
2
.
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Adjacent
=
9
Find the value of cosine.
Tap for more steps...
cos
(
θ
)
=
9
41
Find the value of tangent.
Tap for more steps...
tan
(
θ
)
=
40
9
Find the value of cotangent.
Tap for more steps...
cot
(
θ
)
=
9
40
Find the value of secant.
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sec
(
θ
)
=
41
9
Find the value of cosecant.
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csc
(
θ
)
=
41
40
This is the solution to each trig value.
sin
(
θ
)
=
40
41
cos
(
θ
)
=
9
41
tan
(
θ
)
=
40
9
cot
(
θ
)
=
9
40
sec
(
θ
)
=
41
9
csc
(
θ
)
=
41
40
