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3 years ago

Find the function value. tan 240°

Mathematics

1 answer:

ivanzaharov [21]3 years ago

7 0

Answer:

Step-by-step explanation:

240 has a reference angle of 60 in the third quadrant. The side across from 60 is going to be negative in this quadrant, measuring -√3; the side adjacent to the angle is also negative in this quadrant, measuring -1. The tangent ratio is the side opposite the angle over the side adjacent to the angle, so

tan(240) = √3

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What are the solutions of the equation x4 95x2 Ă˘â‚¬"" 500 = 0? Use factoring to solve.

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All the values of the x for the given function are $\sqrt{5},-\sqrt{5}, 10i$ and $-10i$ .

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Given function is,

$x^{4}+95x^2-500=0$

Rewrite the equation,

$(x^2)^2+95x^2-500=0$

Let u in place of $x^2$ and rewrite the equation in the form of u,

$u^2+95u-500=0$

Break the 95 in factors and rewrite the equation,

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$u(u+100)-5(u+100)=0$

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Replace the value of u with $x^2$ ,

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