Solving Trigonometry Problems: Basic, Advanced & Examples

High School
Geometry
Trigonometry

$\arctan (\frac{x + 1}{x - 1})$ to power series
I want to find an expression for $\arctan (\frac{x + 1}{x - 1})$ as a power series, with $x_{0} = 0$ , for every $x \neq 1$
My initial thought was to use the known $\arctan (x) = \sum_{n = 0}^{\infty} \frac{{(- 1)}^{n} x^{2 n + 1}}{2 n + 1}$ but I don't know how to keep going if I replace x with $\frac{x + 1}{x - 1}$

William Boggs 2021-12-26

If $2 \sin θ + \cos θ = \sqrt{3}$ , what is the value of $\tan^{2} θ + 4 \tan θ$ ?

Inyalan0 2021-12-26

What is the value of $\frac{1}{{\cos 18}^{\circ} {\sin 9}^{\circ}} + \frac{1}{{\cos 18}^{\circ} {\cos 9}^{\circ}}$ ?

Irrerbthist6n 2021-12-26

Finding all a such that $f (x) = \sin 2 x - 8 (a + 1) \sin x + (4 a^{2} + 8 a - 14) x$ is increasing and has no critical points
Obviously, the first thing I did was to find the derivative of this function and simplify it a bit and I got:
$f^{'} (x) = 4 (\cos^{2} x - 2 (a + 1) \cos x + (a^{2} + 2 a - 4))$
But now how do I proceed further, had it been a simple quadratic in x.

expeditiupc 2021-12-26

Find the general solution of the equation $\sin x + \sin 2 x + \sin 3 x = 0$ . I have started doing this problem by applying the formula of $\sin A + \sin B$ but couldn't generalise it. Please solve it for me.

hvacwk 2021-12-26

I have the following equation:
$\sin (x - \frac{π}{6}) + \cos (x + \frac{π}{4}) = 0$

Agohofidov6 2021-12-26

How do you find the terminal point on the unit circle determined by $t = 5 \frac{π}{12}$ ?

kuvitia9f 2021-12-26

What is $\cos^{- 1} (\frac{1}{2})$ ?

Terrie Lang 2021-12-26

How do you evaluate $\sin (\frac{π}{6})$ ?

Salvatore Boone 2021-12-24

How do you solve $\sin 2 x = \sin x$ ?

percibaa8 2021-12-23

The of a 15-foot ladder is 3 feet farther up a wall than the foot is from the bottom of the wall. How far is the ladder from the bottom of the wall?

William Collins 2021-12-23

What is the value of $\cos \frac{π}{4}$

Carole Yarbrough 2021-12-22

What is the derivative of $e^{- x}$ ?

Chris Cruz 2021-12-20

Find the exact value of sin 45 degrees, please.

Kaspaueru2 2021-12-20

What does x equal when $\cos (x) = 0$ ?

William Curry 2021-12-20

What is $\frac{π}{6}$ radians in degrees?

Carole Yarbrough 2021-12-19

What does x equal, if $\sin (x)$

Dealing with Trigonometry problems, it is extremely difficult to find practice answers online, which is why our professional team decided to publish a list of questions with the answers to help you see the most common solutions and the formatting. If you need any kind of additional help as you seek math homework online, the safest way would be to compare your task with the provided examples.

By doing so, it is easy to spot a mistake that you may have. Meanwhile, have a look at our Trigonometry examples.

Trigonometry