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f(x) = tan2(x) + (√3 - 1)[tan(x)] - √3 = 0
tan2(x) + √3[tan(x)] - tan(x) - √3 = 0
Factor into
[-1 + tan(x)]*[√3 + tan(x)] = 0
which means
[-1 + tan(x)] = 0 and/or [√3 + tan(x)] = 0
Then
tan(x) = 1
tan-1(1) = pi/4 radians
For the other equation
[√3 + tan(x)] = 0
tan(x) = -√3
tan-1(-√3) = -pi/3
so that
x = pi/4 or -pi/3 in the interval [0, 2pi]
Answer:
x = 17.046
y = 17.045
Step-by-step explanation:
neclace price = x
bracelet price = y
35+75=110
35 = 31.82% of 110 ($596.625)
75 = 68.18% of 110 ($1,278.375)
Answer:
27
Step-by-step explanation:
Since it is addition to make the expression a perfect square, it would not be as direct
√9577 = 97.86214794
we round off to the nearest whole number, since we need a perfect square number
therefore it would be 98
98² = 9604, the perfect square number we'll get after adding to 9577
therefore amount needed to add= 9604-9577= 27
Answer:
16=d-12/14
We simplify the equation to the form, which is simple to understand
16=d-12/14
Simplifying:
16=d-0.857142857143
We move all terms containing d to the left and all other terms to the right.
-1d=-0.857142857143-16
We simplify left and right side of the equation.
-1d=-16.8571428571
We divide both sides of the equation by -01 to get d.
d=16.8571428571
Step-by-step explanation: