Solving Trigonometry Problems: Basic, Advanced & Examples

High School
Geometry
Trigonometry

Is the following function form $Z$ to $Z$ one-to-one?
1) $f (n) = n - 1$
2) $f (n) = n^{2} + 1$
3) $f (n) = n^{3}$
4) $f (n) = ⌈ n ∕ 2 ⌉$

opatovaL 2021-09-05

Find the arc length of the astroid $x (t) = \cos^{3} t, y (t) = \sin^{3} t$ .
Calculate the arc length of $\frac{1}{4}$ of the astroid $(0 \leq t \leq \frac{π}{2})$

midtlinjeg 2021-09-05

$\cot 2 (\sin (θ))$
Find the derivative.

Cheyanne Leigh 2021-09-05

Calculate the average rate of change for the function $f (x) = x^{2} + x - 12$ , over the interval:
1. [0,3]
2. [-1,10]

FizeauV 2021-09-04

Given a right triangle. Cathetuses are 24cm and 7cm long. Find the length of the hypothenuse.

bobbie71G 2021-09-04

Given a right triangle. If one cathetus is 19x, the second cathetus is 28x. Find the angles.

snowlovelydayM 2021-09-04

Given a right triangle with $∠ a = 65^{\circ}$ . The cathetus opposite to $∠$ a is $\overset{―}{A} = 250$ m. Find the second cathetus $(\overset{―}{B})$ .

Trent Carpenter 2021-09-04

$f (x) = \frac{2}{19 + x}$
Find the power series representation and the interval of convergence.

Zoe Oneal 2021-09-04

When can and can't the two-sided limits exist?

foass77W 2021-09-04

Name the two assumptions frequently made while estimating a cost function.

Jaden Easton 2021-09-04

Prove the identity whether is true or false
$\cos 2 θ = \frac{1 - \tan^{2} θ}{1 + \tan^{2} θ}$

Alyce Wilkinson 2021-09-04

$\frac{\tan α + \cot α}{\sin α - \cos α} = \sec^{2} α + \csc^{2} α$

ringearV 2021-09-03

$\sin u = - \frac{24}{25}$ ( $u \in$ Quadrant III)
$\cos v = - \frac{8}{17}$ ( $v \in$ Quadrant II)
Evaluate the trigonometric function. Find $\cos u, \sin v, and \sin (u - v)$ .

iohanetc 2021-09-03

Find the exact value of each expression.
$(\tan) \frac{17 π}{12}$

Tabansi 2021-09-03

Proved the trigonometry identity
$\frac{\csc^{2} x}{\cot^{2} + \sec^{2} x + 1} = \cos^{2} x$

Daniaal Sanchez 2021-09-02

What simplifies decision making and helps coordinate all activities related to a product?

Falak Kinney 2021-09-02

Prove the identity
$\frac{1}{2 \csc 2 x} = \cos^{2} x \tan x$
Choose the sequence of steps below that verifies the identity
A) $\cos^{2} x \tan x = \cos^{2} x \frac{\sin x}{\cos x} = \cos x \sin x = \frac{\sin 2 x}{2} = \frac{1}{2 \csc 2 x}$
B) $\cos^{2} x \tan x = \cos^{2} x \frac{\cos x}{\sin x} = \cos x \sin x = \frac{\sin 2 x}{2} = \frac{1}{2 \csc 2 x}$
C) $\cos^{2} x \tan x = \cos^{2} x \frac{\cos x}{\sin x} = \cos x \sin x = 2 \sin 2 x = \frac{1}{2 \csc 2 x}$
D) $\cos^{2} x \tan x = \cos^{2} x \frac{\sin x}{\cos x} = \cos x \sin x = 2 \sin 2 x = \frac{1}{2 \csc 2 x}$

postillan4 2021-09-02

$y = x^{2} e^{x} - 2 x e^{x} + 4 e^{x}$
The derivative of the function is?

Dolly Robinson 2021-09-02

When in standard position, the terminal side of an angle intersects the unit circle at $(\frac{5}{13}, \frac{12}{13})$ . Describe sin (θ).

Armorikam 2021-09-01

Prove that of the two trigonometric equations.
$\tan (A + B) = \frac{\tan A + \tan B}{1 - \tan A \tan B}$
$\sin 2 θ = 2 \sin θ \cos θ$

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Trigonometry

Trigonometry Problems - Basics, Advanced & Examples