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3 years ago

Answer here plss. i suck at math

Mathematics

1 answer:

hjlf3 years ago

6 0

Answer:

Step-by-step explanation:

(3, -2 )

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Komok [63]

Answer:

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Step-by-step explanation:

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3 years ago

Given right triangle ABC, what is the value of tan (A)?

elena-14-01-66 [18.8K]

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3 years ago

Angle x is a third quadrant angle such that cos x = -1/5.

Yuki888 [10]

Starting from the formula

$\cos^2(x)=\dfrac{1+\cos(2x)}{2}$

We can divide all the angles by 2 and we get

$\cos^2\left(\dfrac{x}{2}\right)=\dfrac{1+\cos(x)}{2}$

And finally

$\cos\left(\dfrac{x}{2}\right)=\pm\sqrt{\dfrac{1+\cos(x)}{2}}$

Angle x is a third quadrant angle, meaning that it is somewhere between 180 and 270. This implies that x/2 lies between 90 and 135. So, x/2 is a second quadrant angle, and its cosine is negative. This means that we can update the previous equation to

$\cos\left(\dfrac{x}{2}\right)=-\sqrt{\dfrac{1+\cos(x)}{2}}$

You know that

$\cos(x)=-\dfrac{1}{5}$

so, plug that value into the expression and you'll get cos(x/2).

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3 years ago