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hodyreva [135]
3 years ago
12

Super urgent! Solve the equation for all real values of x. 3tan^2 = sqrt3 tanx

Mathematics
1 answer:
lutik1710 [3]3 years ago
5 0

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]

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Which expression is equivalent to (3b 2r) (4b r)? 7b 2r 7b 3r 12b 2r 12b 3r.
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To add the variables, add the coefficients with same variable. The expression which is equivalent to given expression is 7b+3r. The option 2 is the correct option.

<h3>What is equivalent expression?</h3>

Equivalent expression are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The expression given in the problem is,

(3b+2r)+(4b+r)

Let the resultant expression of the above expression is x. thus,

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To add the algebraic terms open the brackets first,

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Separate the same variable terms,

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x=7b+3r

Hence, the expression which is equivalent to given expression is 7b+3r. The option 2 is the correct option.

Learn more about the equivalent expression here;

brainly.com/question/2972832

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