Solving Trigonometry Equations and Problems with Examples and Tips

Verify the following identity:
$\frac{\tan x}{1 + \sec x} + \frac{1 + \sec x}{\tan x} = 2 \csc x$

Nettie Potts 2022-03-01

I want to find out value of this expression
$\cos^{2} 48^{\circ} - \sin^{2} 12^{\circ}$

Nyah Conrad 2022-03-01

Show that the function
$f (x) = \cos (x) + \cos (x \sqrt{2})$
is not periodic.

Tagiuraoob 2022-03-01

Let $p = {\sin 24}^{\circ}$
1. Then what would $\cos (24^{\circ})$ be in terms of p?
2. What would $\sin (168^{\circ}) \cdot \sin (- 78^{\circ})$ be in terms of p?

klamytewoc 2022-03-01

Prove that $x - \frac{x^{3}}{3!} < \sin (x) < x$ for all x>0

Aine Sellers 2022-03-01

Find the value:
$\frac{\tan θ}{1 - \cot θ} + \frac{\cot θ}{1 - \tan θ}$

sacateundisco8i3 2022-03-01

I'm trying to solve a differential equation which is :
$y^{'} (t) - 4 y (t) = \cos (3 t)$

oskrnavih92j 2022-03-01

Solve:
$lim_{x \to 0} \frac{x^{3}}{\tan^{3} (2 x)}$

Jordana Boyd 2022-03-01

Why is this silution to $2 \sin^{2} x (x) + \sin (x) - 1 = 0$ incorrect?

fecundavai3c 2022-03-01

Finding the limit of
$\frac{1 - \cos (2 x)}{1 - \cos (3 x)}$ for $x \to 0$

Reginald Owens 2022-03-01

How to integrate?
$\int \frac{\arctan \sqrt{x^{2} - 1}}{\sqrt{x^{2} + x}} d x$

Cian Orr 2022-03-01

Determine
$\sin (\frac{π}{14}) + 6 \sin^{2} (\frac{π}{14}) - 8 \sin^{4} (\frac{π}{14})$

Potherat8mi 2022-03-01

Solve the equation
$3 \sin^{2} x - 3 \cos x - 6 \sin x + 2 \sin 2 x + 3 = 0$

Brooklyn1wp 2022-03-01

Find all rational numbers p, q, r such that
$p \cos \frac{π}{7} + q \cos \frac{2 π}{7} + r \cos \frac{3 π}{7} = 1$

Ingrid Senior 2022-03-01

How do i show:
$\sin^{2} (x + y) - \sin^{2} (x - y) \equiv \sin (2 x) \sin (2 y)$

Taylor Haines 2022-03-01

I'm having trouble proving
${(\frac{\sin (\frac{n θ}{2})}{\sin (\frac{θ}{2})})}^{2} = {| \sum_{k = 1}^{| n |} e^{i k θ} |}^{2}$
where $n \in Z$ and $θ \in R$ .

Akash Matthews 2022-03-01

Does anybody know of a quick way of finding real a and b for the equation $2 \sin (x + 10) = a \sin x + b \cos x$

rhita3yp 2022-03-01

Simplify:
$\sec x \tan x (1 - \sin^{2} x)$

Milla Werner 2022-03-01

So far I got
$r = \frac{7}{4 - 2 \cos θ}$
$(r (4 - 2 \cos θ) = 7$
$r (4 - 2 (\frac{x}{r})) = 7$

Ingrid Senior 2022-03-01

How can I calculate
$\sin (10^{10^{100}} - 10)$ ?

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