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2 years ago

Tan x + sqrt(3) = - 2 tan x

Mathematics

1 answer:

Svet_ta [14]2 years ago

8 0

9514 1404 393

Answer:

nπ -π/6 . . . for any integer n

Step-by-step explanation:

tan(x) +√3 = -2tan(x) . . . . . given

3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3

tan(x) = -√3/3 . . . . . . . . . . divide by 3

x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x

This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...

x = n·π -π/6 . . . . for any integer n

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Answer:

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Step-by-step explanation:

Continuously compounded interest formula:

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

From previous polls, it is believed that 66% of likely voters prefer the incumbent. A new poll of 500 likely voters will be cond

Vladimir79 [104]

Answer:

The mean and standard deviation of the number preferring the incumbent is mean = 330, standard deviation = 10.59.

Step-by-step explanation:

We are given that From previous polls, it is believed that 66% of likely voters prefer the incumbent.

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Let p = probability of voters preferring the incumbent = 66%

n = number of voters polled = 500

So, the mean of the number preferring the incumbent is given by;

Mean = $n \times p$ = $500 \times 0.66$

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And, standard deviation of the number preferring the incumbent is given by;

Variance = $n \times p\times (1-p)$

= $500 \times 0.66 \times (1-0.66)$

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2 years ago

Solve each system of equations by graphing. y = 2x y = x + 1

yawa3891 [41]

Step-by-step explanation:

The system of linear equations are , (i) y = 2x and (ii) y = x + 1 . We will find some coordinates and then we will plot its graph. The point where both Graphs will meet will be the solution of the graph .

• Finding coordinates of Equⁿ (i) :-

Step 1 : Put x = 0 :-

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