Solving Trigonometry Equations and Problems with Examples and Tips

Solve the equation:
$\cos \frac{23 π}{12} + \cos \frac{5 π}{12}$

floymdiT 2021-08-19

If $\sin x = \frac{1}{3},$ x in quadrant 1, then find $\sin (2 x), \cos (2 x), \tan (2 x)$

Wierzycaz 2021-08-18

It is given that the smallest positive value of x satisfying $3 \sin 2 x = \tan x$ is $x = θ$ radians. Select all the other solutions of the equation $3 \sin 2 x = \tan x$ for $0 < x < 2 π$

geduiwelh 2021-08-18

Simplify the following:
$\sec (x) \csc (x) \cos (x)$

Annette Arroyo 2021-08-18

Use power reducing formula to simplify ${(\cos 3 x)}^{4}$ to find powers of cosines

Annette Arroyo 2021-08-18

Simplify the trigonometric expression.
$\frac{\sin (x)}{\csc (x) + \cot (x)}$

Lewis Harvey 2021-08-18

Find $θ$ , if $- 360^{\circ} < θ < 0^{\circ}$ and $\cos (θ) = - \frac{\sqrt{3}}{2}$ and $θ$ in Quadrant 3.

Tabansi 2021-08-17

Find all solution of the equation in the interval $[0, 2 π]$ .
$2 \sin 3 θ + \sqrt{2} = 0$

Annette Arroyo 2021-08-17

Verify for any integer n: $\cos \frac{(2 n - 1) π}{2} = 0$ . Be sure to include an explanation of potential cases that may exist with the value of n.

Dolly Robinson 2021-08-17

Find all the values of x in the interval $[0, 2 π)$ that solve the equation
$3 \sec^{2} x - 5 \sec x = 2$

aortiH 2021-08-17

Evaluate (if possible) the sine, cosine, and tangent at the real number. $t = - \frac{π}{4}$

waigaK 2021-08-17

Two direction angles of a vector are given. Find the third direction angle, given that is either acute.
$β = \frac{2 π}{3}, γ = \frac{π}{4}, α is acute$

Efan Halliday 2021-08-16

If $15 \cot x = 12$ , then find $\sec x$

Tobias Ali 2021-08-16

If $\sin (3 x + 5) = \cos (2 x - 10)$ what is the value of x?

ringearV 2021-08-16

Use double- and half-angle formulas to find the exact value of the expression: $\tan \frac{π}{12}$

Line 2021-08-16

Express the given sum or difference as a product of sines and/or cosines.
$\cos 2 x + \cos 6 x$

Khaleesi Herbert 2021-08-16

Given $v = - 7 i - 6 j$ and $w = 5 i - j$ , find the angle between v and w.
What is the angle between v and w?

DofotheroU 2021-08-16

Find the exact value of $\cot (\arcsin \frac{3}{8})$ without using a calculator.

bobbie71G 2021-08-16

Find exact value of $\sin 495$ degrees without a calculator?

Jaya Legge 2021-08-16

How do you solve $\sin x \cos x = \frac{1}{2}$ for x in the interval $[0, 2 π)$ ?

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