souta5
2022-09-12
Answered

What is the arcsin of 1/2?

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asked 2021-08-20

Let P(x, y) be the terminal point on the unit circle determined by t. Then

asked 2022-03-01

Find all rational numbers p, q, r such that

$p\mathrm{cos}\frac{\pi}{7}+q\mathrm{cos}\frac{2\pi}{7}+r\mathrm{cos}\frac{3\pi}{7}=1$

asked 2022-03-17

What is the maximum value of k so that ${x}^{2}+4({\mathrm{sin}}^{2}\left\{x\right\}{\mathrm{tan}}^{2}\left\{x\right\}+{\mathrm{cos}}^{2}\left\{x\right\}{\mathrm{cot}}^{2}\left\{x\right\}+{k}^{2}-x\mathrm{sec}\left\{x\right\}\mathrm{csc}\left\{x\right\})=0$ has real roots.

asked 2021-08-15

Rewrite the following expression involving trigonometry and inverse trigonometry as an algebraic expression in x.

$\mathrm{cos}\left(2{\mathrm{sin}}^{-1}x\right)$

asked 2022-06-21

I want to simplify the following expression:

$\sqrt{3}\mathrm{sin}{60}^{\circ}-3\mathrm{cos}{60}^{\circ}-\mathrm{tan}{210}^{\circ}$

This is what I was able to figure out:

$3\mathrm{cos}{60}^{\circ}={\mathrm{cos}{60}^{\circ}}^{3}=1$

Therefore:

$\sqrt{3}\mathrm{sin}{60}^{\circ}-1-\mathrm{tan}{210}^{\circ}$

$\sqrt{3}\mathrm{sin}{60}^{\circ}-3\mathrm{cos}{60}^{\circ}-\mathrm{tan}{210}^{\circ}$

This is what I was able to figure out:

$3\mathrm{cos}{60}^{\circ}={\mathrm{cos}{60}^{\circ}}^{3}=1$

Therefore:

$\sqrt{3}\mathrm{sin}{60}^{\circ}-1-\mathrm{tan}{210}^{\circ}$

asked 2021-09-16

Find the Opposite Side (O) of the triangle if the Adjacent Side (A) is 18 and the Hypotenuse (H) is 47.

Find the Opposite Side (O) of the triangle if the Adjacent Side (A) is 18 and the Hypotenuse (H) is 47.

asked 2022-01-25

Prove that $\sum _{n=1}^{\mathrm{\infty}}\mathrm{log}\mathrm{cos}\left(\frac{1}{n}\right)$ converges absolutely.