Answer:
a) -tan(π/4) = -1
b) -1/sin(π/3) = -(2/3)√3
Step-by-step explanation:
The given functions are reciprocals of the primary trig functions:
cot(x) = 1/tan(x)
csc(x) = 1/sin(x)
The tangent function has a period of π, and is equal to the cotangent of the complementary angle.
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<h3>a)</h3>
The given angle is an alias of -π/4, so we can write ...
cot(7π/4) = cot(-π/4) = -cot(π/4) = -tan(π/2 -π/4) = -tan(π/4)
-tan(π/4) = -1
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<h3>b)</h3>
csc(-π/3) = 1/sin(-π/3) = -1/sin(π/3) = -1/(√3/2) = -2/√3
-1/sin(π/3) = -2√3/3
Answer:
B.
Step-by-step explanation:
The dance studio can have between 20 and 60 people. The holes are closed be 20 and 60 are included
40 mins left! total time= 60 mins x 3 hours =180 mins. 180 divided by 9 is 20. 20 times 7 is 140. 180-140 equals 40. yay!
Answer:
- x = 0 or 1
- x = ±i/4
- x = -5 (twice)
Step-by-step explanation:
Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.
1. x^2 -x = 0
x(x -1) = 0 . . . . . x = 0 or 1
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2. 16x^2 +1 = 0
This is the "difference of squares" ...
(4x)^2 - (i)^2 = 0
(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)
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3. x^2 +10x +25 = 0
(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2
Answer:
g(-2) = -15, g(0) = -9, g(3) = -18
Step-by-step explanation:
g(-2) = -2*2 + 3(-2) - 5 g(-2) = -4 - 6 - 5g(-2) = -15g(0) = -4 - 0 - 5g(0) = -9g(3) = -4 - 3(3) - 5g(3) = -4 - 9 - 5g(3) = -18
I HOPE THIS HELPS
