Practice Trigonometric Functions Problems

High School
Geometry
Trigonometry
Trigonometric Functions

Recent questions in Trigonometric Functions

Kirsten Bishop 2022-11-26

How do you simplify the expression $c o t^{2} x + 1$ ?

riwayatcbt 2022-11-25

Given:
$x + \frac{1}{x} = 2 \cos (\cos θ)$
Prove:
$x^{n} + \frac{1}{x^{n}} = 2 \cos (\cos (n θ))$

Cecilia Wilson 2022-11-25

How do I parameterize the intersection of $x^{2} - y^{2} = 11$ and $z = x y$

nazismes2w7 2022-11-24

Calculate:
$\frac{d}{d x} \cos (\ln (x^{3}))$

Naomi Rowland 2022-11-24

How to prove $\csc^{2} (x) - \cot^{2} (x) + \tan^{2} (x) = \sec^{2} (x)$ ?

Celia Ray 2022-11-24

Solve the integral $\int_{- \frac{π}{2}}^{\frac{π}{2}} \frac{\sin^{3} x}{\tan^{3} x + \cot^{3} x} d x$

Rosemary Chase 2022-11-21

Solve
$\int \cos^{2} x \sin 2 x d x$
I solved it using the identity $\cos^{2} x = \frac{1}{2} (1 + \cos (2 x))$ and the substitution $u = 2 x$
$\int \cos^{2} x \sin 2 x d x = \frac{1}{2} \int (1 + \cos 2 x) \sin 2 x d x$
$\begin{matrix} (u = 2 x) & \frac{1}{4} \int (\sin u + \sin u \cos u) d u \end{matrix}$
$\begin{matrix} (t = \sin u) & = \frac{1}{4} (\cos u + \int t d t) \end{matrix}$
$= \frac{\cos 2 x}{4} + \frac{\sin^{2} 2 x}{8} + C$
I can't find an error in my procedure.

Hayley Mcclain 2022-11-21

Can the following integral be evaluated for $x \neq {0, \frac{1}{2}}$ ?
$\int_{0}^{1} \frac{\cos^{2} (π x)}{x^{2} (1 - 4 x^{2})^{2}} d x$

inurbandojoa 2022-11-21

Calculate:
$\frac{d}{d x} e^{x} \cos x$

Brooke Richard 2022-11-21

Find the range of the function $f (x) = \cos (x) [\sin (x) + \sqrt{\sin^{2} (x) + \frac{1}{2}}]$

Jorge Schmitt 2022-11-20

How do you prove: $\frac{1}{\sin^{2} (\frac{2 π}{9})} - \frac{1}{\sin^{2} (\frac{4 π}{9})} = 8 \sin (\frac{π}{18})$

ritualizi6zk 2022-11-20

I want to determine the sum of the series
$\frac{π^{2}}{4^{2} 2!} - \frac{π^{4}}{4^{4} 4!} + \frac{π^{6}}{4^{6} 6!} - \frac{π^{8}}{4^{8} 8!} + \dots$
What I am trying to do is to consider that
$\cos (x) = 1 - \frac{x^{2}}{2!} + \frac{x^{4}}{4!} - \frac{x^{6}}{6!} + . . .$
then
$- \cos (x) + 1 = \frac{x^{2}}{2!} - \frac{x^{4}}{4!} + \frac{x^{6}}{6!} - . . .$
Up to this point the expression resembles the one I am looking for, however I have not been able to find the final result, any help?

Hayley Mcclain 2022-11-20

The general solution of $\tan (x) = \tan (2 x - π / 2)$

clealtAfforcewug 2022-11-19

Prove that $\cos^{- 1} (\frac{2}{\sqrt{7}}) + \tan^{- 1} (\frac{\sqrt{3}}{5}) = \frac{π}{3}$

Uriah Molina 2022-11-19

How do we handle the integral $I_{4} = \int {(\frac{\cos θ}{1 + \sin^{2} θ})}^{4} d θ$ ?

Kaylynn Cook 2022-11-19

Why is $\frac{1}{1 + (\frac{- \sin x}{1 + \cos x})^{2}} \equiv \frac{(1 + \cos x)^{2}}{\sin^{2} x + 1 + 2 \cos x + \cos^{2} x}$ ?

sbrigynt7b 2022-11-18

Use the squeezing theorem to evaluate
$l i m_{x \to 0} x^{2} \sin^{2} (1 / x)$

Jorge Schmitt 2022-11-18

Solve functional equation $f (x) + f (y) = f (x \sqrt{1 - y^{2}} + y \sqrt{1 - x^{2}})$

Aryanna Fisher 2022-11-18

Why is $\cot x \cos x - \csc x = - \sin x$ true?

Keshawn Moran 2022-11-17

Solve: $\frac{1}{\sin (π / n)} = \frac{1}{\sin (2 π / n)} + \frac{1}{\sin (3 π / n)}$

When you need someone to help you solve trigonometric functions, remember that you should understand the basics in any case. As a field of Geometry, Trigonometry can only be mastered with the help of examples. Take your time to look through the list of questions and related answers.

It will help you to practice various approaches and find the best solutions for your particular task. If what you need is not included below, remember that you should use the templates below to understand the rules. By doing so, you will achieve success!

Trigonometry

Ask our experts to solve trigonometric functions ease