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.
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cos
(
θ
)
=
9
41
Find the value of tangent.
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tan
(
θ
)
=
40
9
Find the value of cotangent.
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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
Perimeter: You have to add up ALL the sides 12+12+3+3= 30 in square is the Perimeter
Area: Multiply l*w A=l*w, so 12*3= 36 36 in. square is your Area
Substituting for r and h:-
volume = pi (x - 3)^2 * (2x + 7)
= pi* (2x + 7)(x^2 - 6x + 9)
= pi * (2x^3 - 12x^2 + 18x + 7x^2 - 42x + 63)
= (2x^3 - 5x^2 - 24x + 63) pi answer
Answer:
b
Step-by-step explanation:
Answer:
The answer is 90.
Step-by-step explanation:
90 is in the middle