Solving Trigonometry Equations and Problems with Examples and Tips

Use an Addition or Subpraction Formula to write the expression as a trigonometric function of one number:
$\frac{{\tan 78}^{\circ} - {\tan 18}^{\circ}}{1 + {\tan 78}^{\circ} {\tan 18}^{\circ}}$
Find its exact value.

glamrockqueen7 2021-08-15

A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a sighting of the top of the cliff. The angle of elevation is 25°, how far offshore is the boat?

abondantQ 2021-08-15

Find all solutions of the equation in the interval $[0, 2 π)$
$\cos 2 x = \frac{\sqrt{3}}{2}$

e1s2kat26 2021-08-15

Find the value of $\tan^{- 1} \sqrt{3} - \sec^{- 1} (- 2)$

Tobias Ali 2021-08-15

If $\tan = \frac{- 4}{3}$ and $3 \cdot \frac{π}{2} < t < 2 \cdot π$ , find $\sin t, \cos t, \sec t, \csc t, \cot t$ .

Burhan Hopper 2021-08-15

Find $θ$ if $0^{\circ} < θ < 360^{\circ}$ and $\tan θ = - 3 \sqrt{3} - 33$ and $θ$ is in quadrant 2

Phoebe 2021-08-15

Let $θ$ be an angle in quadrant 3 such that $\sin θ = - \frac{5}{13}$
Find the exact values of $\sec θ$ and $\cot θ$ .

glamrockqueen7 2021-08-15

If $θ$ is an acute angle and $\tan θ + \cot θ = 2$ . Find the value of $\tan^{7} θ + \cot^{7} θ$

EunoR 2021-08-15

Find all solutions to the equation.
$\sqrt{3} \sin x - \sin 2 x = 0$

Armorikam 2021-08-15

Find the exact value of the expression $\tan (\frac{4 π}{3} - \frac{π}{4})$

remolatg 2021-08-15

Use the fundamental identities to find the value of the trigonometric function
Find $\csc θ$ , given that $\sin θ = - 23$ and $θ$ is in quadrant 4.

amanf 2021-08-15

Rewrite the following expression involving trigonometry and inverse trigonometry as an algebraic expression in x.
$\cos (2 \sin^{- 1} x)$

allhvasstH 2021-08-14

Solve the equation:
$\tan^{2} x - 3 \tan x - 4 = 0$

Marvin Mccormick 2021-08-14

Find all solution of the equation in the interval $[0, 2 π]$ .
$\sin 2 x (\csc 2 x - 2) = 0$

ringearV 2021-08-14

Find 6 - trigonometry function value of $θ = \frac{3 π}{2}$

Chaya Galloway 2021-08-14

Use the unit circle to evaluate the six trigonometric functions of: a) $90^{\circ}$ b) $180^{\circ}$

djeljenike 2021-08-14

Is the statement True or False? Exact values can be found for the sine of any angle.

facas9 2021-08-13

Find exact value of $\cos (\frac{9 π}{4})$
How do you get $(\frac{π}{4} + 2 π)$

geduiwelh 2021-08-13

Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.
$\sec y = \csc$

naivlingr 2021-08-13

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. r = 14 feet, s = 8 feet.

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