Solving Trigonometry Equations and Problems with Examples and Tips

Simplify $\frac{1 - \sin (x) + \cos (x)}{1 + \sin (x) + \cos (x)}$

Dashawn Robbins 2022-04-27

Simplify and evaluate without using a calculator:
$\frac{\sin π}{12} + \frac{\cos π}{12}$

bacasauvfl 2022-04-26

So, I have this equation:
$\sin x = 4 {\sin 10}^{\circ} {\sin 40}^{\circ} \sin (70^{\circ} - x)$

dooporpplauttssg 2022-04-26

Simplifying, I have
$\frac{1}{\sin x \cos x} = 3$

Ari Sheppard 2022-04-26

Simplifying $\frac{6 \tan x}{1 - \tan^{2} x}$ to $3 \tan 2 x$

Ezequiel Olson 2022-04-26

Simplifying $\frac{{\sin 40}^{\circ} - \sqrt{3} {\cos 40}^{\circ}}{{\sin 10}^{\circ} {\cos 10}^{\circ}}$

Kymani Shepherd 2022-04-26

Simplify: $\frac{\sin (3 x - y) - \sin (3 y - x)}{\cos (2 x) + \cos (2 y)}$
I used the formula:
$\sin (α) - \sin (β) = 2 \cdot \cos \dots$
and got to:
$\frac{\sin (2 x - 2 y)}{\cos (x - y)}$

Davin Sheppard 2022-04-26

Simplify:
$\frac{\sin (x) \cos (x)}{1 - \sin^{2} (x)}$

p3sa1bynn 2022-04-26

Simplify Trig Identity in $\sin θ$ and/or $\cos θ$
I just need to simplify in terms of $\sin θ$ and/or $\cos θ$
I did this one earlier today but forgot how I did it. I just need help on the other two.
$\frac{\cos θ}{\sin θ} + \frac{1}{\cos θ} = \frac{\cos^{2} θ + \sin θ}{\sin θ \cos θ}$
Question 1: $\sin θ + \frac{1}{\cos θ}$
Question 2: $\frac{\sin θ}{\cos θ} + \frac{1}{\sin θ}$

dooporpplauttssg 2022-04-26

Simplify the equation $16 \cos^{6} (t) + 16 \sin^{6} (t) + 48 \sin^{2} (t) \cos^{2} (t)$

Eileen Garza 2022-04-26

Simplify and find the value of
$\tan θ (1 - \sec \frac{θ}{2}) (1 - \sec θ) (1 - \sec 2 θ) \dots (1 - - {\sec 2}^{n - 1} θ)$
at $n = 1, 2, 3$

Dashawn Robbins 2022-04-25

What is $\tan (f (1) + f (2) + \dots + f (21))$ where $f (x) = \arctan (\frac{1}{x^{2} + x + 1})$

p3sa1bynn 2022-04-25

Period of $\sin^{2} x + \cos^{4} x$ ?

broggesy9 2022-04-25

Since
$D^{- 1} {(1 + x^{2})}^{- \frac{1}{2}} = {sinh}^{- 1} (x) + C$ ,
is it ture that
${sinh}^{- 1} x + C ∣_{0}^{1} = \log (1 + \sqrt{2})$ ?

pacificak8m 2022-04-25

Simplify: $\frac{1 + \cos 2 x}{1 - \cos x} - \frac{4 \cos^{2} (\frac{x}{2})}{\tan^{2} x}$

Essence Byrd 2022-04-25

Simplify this expression with $\cos$ and $\sin$
$\frac{\cos 12 x}{\cos 4 x} - \frac{\sin 12 x}{\sin 4 x} = \frac{\cos^{2} 6 x - \sin^{2} 6 x}{\cos^{2} 2 x - \sin^{2} 2 x} - \frac{2 \sin 6 x \cos 6 x}{2 \sin 2 x \cos 2 x}$

pettingyg0 2022-04-25

Simplify the expression
$(1 - \frac{{\cos 61}^{\circ}}{{\cos 1}^{\circ}}) (1 - \frac{{\cos 62}^{\circ}}{{\cos 2}^{\circ}}) \cdot \dots \cdot (1 - \frac{{\cos 119}^{\circ}}{{\cos 59}^{\circ}})$

Michael Rivers 2022-04-25

Simplify $\prod_{k = 1}^{5} \tan \frac{k π}{11}$ and $\sum_{k = 1}^{5} \tan^{2} \frac{k π}{11}$

kabutjv7 2022-04-24

Number of values that satisfy
$2 \sin^{2} (x) - 3 = 3 \cos (x), 90^{\circ} < x < 270^{\circ}$

et3atissb 2022-04-24

Need help proving this expression.
$\sin^{2} (\frac{x}{2}) = \frac{1}{2} (1 - c o s (x))$

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