Precalculus Solutions | Expert Assistance for Problems & Examples

Writing $\tan^{2} (2 \sec^{- 1} (\frac{x}{3}))$ in algebraic form

anadyrskia0g5 2022-03-23

Why solving trigonometry equation for $x y^{'} = y \cos \ln \frac{y}{x}$

Alfredo Holmes 2022-03-23

Given $\tan (2 a) = 2$ and $\frac{3 π}{2} < a < 2 π$ find value of $\tan (a)$

Paula Good 2022-03-23

Given $\cot (b) = - 2$ find $\sin (4 b)$ and $\cos (4 b)$
I made $\sin (4 b)$ into a expanded form.
$4 \sin (b) \cos^{3} (b) - 4 \sin^{3} (b) \cos (b)$ And then I made a triangle using $\cot (b) = - 2$ for information.
I got from that triangle that, $\sin (b) = \frac{\sqrt{5}}{5}$ and that $\cos (b) = \frac{- 2 \sqrt{5}}{5}$
And from their I simplified.
But whenever I expand $\cos 4 b$ and plug in I get a bad answer, $\frac{353}{25}$ and I do not know if it is correct or wrong.

Rex Maxwell 2022-03-23

General form for $\sin (k x)$ in terms of $\sin (x) and \cos (x)$
Identities for $\sin (2 x)$ and $\sin 3 x$ , as well as their cosine counterparts are very common, and can be used to synthesize identities for $\sin 4 x$ and above. Given some integer k, is there an equation to find $\sin (k x)$ in terms of $\sin x$ and $\cos (x)$ ?
For example, if I wanted to find the identity for $\sin (1000 x)$ , what would it be?
Identies used:
$\sin (a + b) = \sin (a) \cos (b) + \sin (b) \cos (a)$
$\cos (a + b) = \cos (a) \cos (b) + \sin (a) \sin (b)$

Makayla Stevens 2022-03-23

Given , $y = 8 \sec^{2} x + 18 \cos^{2} x$ find the minimum possible value of y.
$y = \frac{8}{\cos^{2} x} + 18 \cdot \cos^{2} x$ find the minimum possible value of y.

amonitas3zeb 2022-03-23

Geometric proof of $\frac{{\sin 60}^{\circ}}{{\sin 40}^{\circ}} = 4 {\sin 20}^{\circ} {\sin 80}^{\circ}$

Nathen Peterson 2022-03-22

Solve trigonometric equation $\sin 14 x - \sin 12 x + 8 \sin x - \cos 13 x = 4$

tibukooinm 2022-03-22

Solve this problem:
$lim_{x \to \frac{π}{2}} \frac{\cot x}{2 x - π}$

Deegan Chase 2022-03-22

Solve the following question:
$9 \sin 2 x - 40 \cos 2 x = \frac{41}{\sqrt{2}}$

Lorelei Stanton 2022-03-22

Solve the equation:
$f (n) = \cot^{2} (\frac{π}{n}) + \cot^{2} (\frac{2 π}{n}) + \dots + \cot^{2} (\frac{(n - 1) π}{n})$
then how to find limit of $\frac{3 f (n)}{(n + 1) (n + 2)}$ as $n \to \infty$ ?

Anika Boyd 2022-03-22

Solve the equation
$\cos \frac{4 x}{3} = \cos x + 1$

nomadzkia0re 2022-03-22

Let $θ = \frac{2 π}{5}$ .
Show $2 \cos (2 θ) + 2 \cos (θ) + 1 = 0$ .

Paula Good 2022-03-22

Why $\frac{\sec^{2} x}{\sqrt{\sec^{2} x}} \neq \sec x$ ?
When I evaluate $\frac{d}{d x} ({sinh}^{- 1} (\tan x))$ , i get:
$\frac{\sec^{2} x}{\sqrt{1 + \tan^{2} x}}$
At this point I want to use the $\sec^{2} x = 1 + \tan^{2} x$ identity to simplify to:
$\frac{\sec^{2} x}{\sec x} = \sec x$

Roy Roth 2022-03-22

Writing $\frac{\sin x + 3 \cos x}{2 \cos x}$ in a form that uses only one trig function ( $\sin, \cos, \tan$ , etc)

Harold Hoover 2022-03-22

Given $2 \sin (α) + 2 \sin (β) = 3 \sin (α + β)$ prove $\tan (\frac{α}{2}) \tan (\frac{β}{2}) = \frac{1}{5}$

Suppose that a polynomial function of degree 4 with rational coefficient has the given number as zeros . Find the other zeros.

-1, √3, 11/3

There are 30 students in a class of Mr. Obniarillo. 18 are boys and 12 are girls. What is the probability of
choosing a random student?

blestimd4pz 2022-03-21

Solve the following equation
$3^{x^{2} - 6 x + 11} = 8 + \cos^{2} \frac{π x}{3}$
Here is the problem that I am struggling with it I tried to take a logarithm of both side but I kinda stuck can someone help me with this? Thanks

Zack Mora 2022-03-21

Solve the equation $\sin (3 x) \cos (x) = \frac{2}{3}$ for $x \in [0, \frac{π}{2})$ but I could not do it. I tried to develop $\sin (3 x) = \sin (x + x + x)$ and I arrived at the step where the equation becomes $(4 \cos^{2} (x) - 1) \sin (x) \cos (x) = \frac{2}{3}$ and I could not go further !

Precalculus problems and solutions are hard to find online even though this topic is quite popular among college students majoring in Engineering. Keeping this fact in mind, we decided to provide you with a list of questions and answers that will help you with various precalculus problems. Regardless if it is related to equations or any other problem, these precalculus problems and composite functions examples and solutions below will help you see the logic and compare solutions as you check your original task.

Precalculus

Solve Precalculus Problems | Expert Help Available