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COMPILED QUESTIONS AND ANSWERS IN PRECALCULUS
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Terms in this set (25)
Find the length of the arc (s) using the given information.
r = 3, θ = 30o30o, s= __________
pi/2
Find the length of the arc (s) using the given information.
r = 6, θ = 10o10o, s= __________
pi/3
Find the length of the arc (s) using the given information.
r = 2, θ = 45o45o, s= __________
pi/2
Find the length of the arc (s) using the given information.
r = 10, θ=180o180o, s= __________
10 pi
Find the length of the arc (s) using the given information.
r= 15, θ = 24o24o, s = _________
2pi
Find the area of the sector (A) using the given information.
r = 5, θ = 75o75o, A= ________
375pi/72 square units
Find the area of the sector (A) using the given information.
r = 20, θ =36o36o, A= ________
40 square units
Find the area of the sector (A) using the given information.
r = 6, θ =300o300o, A= ________
30pi square units
Find the area of the sector (A) using the given information.
r = 9, θ =120o120o, A= ________
27pi square units
What is the length of an arc of a circle with a diameter of 16 meters if the area of the corresponding sector is 32 square meters?
8 meters
What is the area of a sector of a circle with radius r = 15 inches if the corresponding arc length is 6 inches?
45 square inches
What is the length of an arc of a circle with a diameter of 24 inches if the area of the corresponding sector is 70 square inches?
11.67
A twelve-inch pizza is cut into 8 slices. What is the area of each slice?
9pi/2
What do you call an equation that is true for all values of the variable in its domain?
identity
For what value or values of xx is √x2+9x2+9 a real number?
all real numbers
The equation 4√x+√x−1=4√x−4√x−14x+x−1=4x−4x−1 is a/an __________________ equation.
identity
The equation x+2x2−3x+2=8x−1+xx−2x+2x2−3x+2=8x−1+xx−2 is a/an ________________ equation.
conditional
The equation csc2x−1=(1−sin2x)csc2xcsc2x−1=(1−sin2x)csc2x is a/an ________________ equation.
identity
Which of the following is an identity?
(x3 -8)=(x-2)(x2+2x+4)
Which of the following is equal to sinxsinx?
±√1−cos2xsinx=±1−cos2x.
Which of the following is equal to secxsin2x−secxsecxsin2x−secx?
−cosx
Simplify siny1−secy+siny1+secysiny1−secy+siny1+secy.
−2cos2y/siny
Simplify sec4z−1/2+tan2zsec4z−12+tan2z.
tan2z
If (sinx+cosx)2(cscx+1)2+cot2x=A(sinx+cosx)2/(cscx+1)2+cot2x=A is an identity, which among the following expressions is a possible value of AA?
1+2sinxcosx/2csc2x+2cscx
Simplify tan4θ+2tan2θ−sec2θ+1tan4θ+2tan2θ−sec2θ+1.
tan2θsec2θ
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