Solving Trigonometry Equations and Problems with Examples and Tips

Solving this equation
$10 \sin^{2} θ - 4 \sin θ - 5 = 0$ for $0 \leq θ < 360^{\circ}$

tressudasikx 2022-02-27

How to deterine the exact value of $\sin (585^{\circ})$ ?

cindakayumn 2022-02-27

Prove that $\tan^{- 1} (\frac{x \sin α}{1 - x \cos α}) - \tan^{- 1} (\frac{x \cos α}{\sin α})$ is independent of x and is equal to $\frac{π}{2} - α$

Richie Patterson 2022-02-27

How is
$\cos (\arcsin (x)) = \sin (\arccos (x)) = \sqrt{1 - x^{2}}$

Cian Orr 2022-02-27

Are there any nice ways to prove that
$ζ (4) = \sum_{n = 1}^{\infty} \frac{1}{n^{4}} = \frac{π^{4}}{90}$

Sarah-Louise Prince 2022-02-27

Solve equation
${(8 \cos^{3} x + 1)}^{3} = 162 \cos x - 27$

Kelvin Gregory 2022-02-27

Calculate
$lim_{n \to \infty} | \sin (π \sqrt{n^{2} + n + 1}) |$

Nettie Potts 2022-02-27

How do I prove that
$2 \cos (2 θ + \frac{π}{3}) \equiv - 2 \sin (2 θ - \frac{π}{6})$

Sarah-Louise Prince 2022-02-27

Is it possible to calculate the value of $δ$ from the relation
$δ = \sin^{- 1} (5.4 i)$ where $i = \sqrt{- 1}$ ?

leciazyg 2022-02-27

How to prove this identity
$π = \sum_{k = - \infty}^{\infty} {(\frac{\sin (k)}{k})}^{2}$ ?

Akbar Witt 2022-02-27

Solving
$E = \frac{1}{{\sin 10}^{\circ}} - \frac{\sqrt{3}}{{\cos 10}^{\circ}}$

Arnold Herring 2022-02-27

Solving for a variable:
$I_{r} (n) = \cos^{n - 1} (\frac{45^{\circ}}{n - 1})$

Akash Matthews 2022-02-27

Can't find solutions for
$\tan 2 x = \tan x$

demonlikw4 2022-02-27

Show that :
$31 + 8 \sqrt{15} = 16 (1 + {\cos 6}^{\circ}) (1 + {\cos 42}^{\circ}) (1 + {\cos 66}^{\circ}) (1 - {\cos 78}^{\circ})$

Akbar Witt 2022-02-27

Finding all solutions to
$\tan^{5} x - 9 \tan x = 0$

Myah Fuller 2022-02-27

$X = (1 + {\tan 1}^{\circ}) (1 + {\tan 2}^{\circ}) (1 + {\tan 3}^{\circ}) \dots (1 + {\tan 45}^{\circ})$
$\tan (90 - θ) = \cot θ = \frac{1}{\tan θ}$

tressudasikx 2022-02-27

Given that $- \frac{π}{2} \leq \arcsin x \leq \frac{π}{2}$ , find the exact of $\cos [\arcsin (- \frac{1}{3})]$

sunyerneq 2022-02-27

Calculate the value of expresion:
$E (x) = \frac{\sin^{6} x + \cos^{6} x}{\sin^{4} x + \cos^{4} x}$
for $\tan (x) = 2$

trasdulaive 2022-02-27

Assuming
$\cos (36^{\circ}) = \frac{1}{4} + \frac{1}{4} \sqrt{5}$
How to prove that
$\tan^{2} (18^{\circ}) \tan^{2} (54^{\circ})$
is a rational number?

Junaid Ayala 2022-02-27

Prove that $\cot^{2} (\frac{π}{7}) + \cot^{2} (2 \frac{π}{7}) + \cot^{2} (3 \frac{π}{7}) = 5$

The majority of Trigonometry Math problems are quite easy to solve when you have the list of answers that help you see the logic and reasoning. Looking at various examples will help you to see how certain questions are related to provided solutions.

Remember that Trigonometry requires patience and analysis. By following your analysis skills, you will help yourself find the answers. If something remains unclear, start with your exploration of examples again and go step-by-step.

Precalculus

Practice Exercises for Trigonometry