2 years ago

Help me simplify expressions

Mathematics

1 answer:

azamat2 years ago

5 0

Multiply both sides of your equation bye the denominator

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erma4kov [3.2K]

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Step-by-step explanation:

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OlgaM077 [116]

Answer:

Student 2 and Student 3

Step-by-step explanation:

Student 2

-(5r - 3s + 1)

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Student 3

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2 years ago

Expression for all solutions to the equation cos(theta) = 1 + 3cos(theta)

OleMash [197]

$\cos\theta=1+3\cos\theta\implies 0=1+2\cos\theta\implies \cos\theta=-\dfrac12$

On the unit cirlce, the cosine of an angle is negative whenever the angle falls in the interval $\dfrac\pi2$ .

If you recall your special triangles, this cosine occurs for angles of $x=\dfrac{2\pi}3$ and $x=\dfrac{4\pi}3$ .

More generally, this occurs for $x=\dfrac{2\pi}3+2n\pi$ and $x=\dfrac{4\pi}3+2n\pi$ , where $n$ is an integer.