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:
The mass of the larger hummingbird is 7 1/2 or 15/2.
Step-by-step explanation:
Bee hummingbird = 1 1/4g
Larger hummingbird = 6x that
So,
1 1/4 x 6 = 7.5
7.5 as fraction = 7 1/2 or 15/2
D = {5; 7; 9; 11}
y = 45 - 3x
substitute the values of x from the domain to the equation:
for x = 5: y = 45 - 3 · 5 = 45 - 15 = 30for x = 7: y = 45 - 3 · 7 = 45 - 21 = 24for x = 9: y = 45 - 3 · 9 = 45 - 27 = 18for x = 11: y = 45 - 3 · 11 = 45 - 33 = 12
Answer: The range is { 12; 18; 24; 30}.
