3 years ago

Solve for x. Round measures to the nearest tenth

1 answer:

6 0

Hello,

*I will move straight to the math. If you have questions, ask away! :)
* All calculations are in “degree mode” for a TI calculator or other calculator.

I will apply Laws of Sines/Cosines and inverse functions for your math.

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Anybody know the correct answer?

earnstyle [38]

Since $\csc^2{x}=\frac{1}{\sin^2{x}}$ and $\cot^2{x}=\frac{\cos^2{x}}{\sin^2{x}}$ , we can rewrite the right side of the equation as

$\frac{1}{\sin^2{x}}-\frac{\cos^2{x}}{\sin^2{x}} =\frac{1-\cos^2{x}}{\sin^2{x}}$

Using the identity $\sin^2{x}+\cos^2{x}=1$ , we can subtract $\cos^2{x}$ from either side to obtain the identity $\sin^2{x}=1-\cos^2{x}$

substituting that into our previous expression, the right side of our equation simply becomes

$\frac{\sin^2{x}}{\sin^2{x}}=1$

We can now write our whole equation as

$3\tan^2{x}-2=1$

Adding 2 to both sides:

$3\tan^2{x}=3$

dividing both sides by 3:

$\tan^2{x}=1$

$\tan{x}=\pm1$

When 0 ≤ x ≤ π, tan x can only be equal to 1 when sin x = cos x, which happens at x = π/4, and it can only be equal to -1 when -sin x = cos x, which happens at x = 3π/4

4 0

3 years ago

Evan told his class that the people in his family have 14 legs altogether.Quinton said that there must be 7 people in Even's fam

lianna [129]

Quinton is correct because each person has 2 legs and the multiplied by 7 is 14 that's why I say he is correct

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3 years ago

You play video games online. When you sign up with the game site, you get 400 points. You earn 50 more points for each hour that

vaieri [72.5K]

12 hours, if you multiply 50 by 12 it will give you 600 and add the 400

8 0

3 years ago