Trigonometric Equations and Indentities: Real-World Examples

High School
Geometry
Trigonometry
Trigonometric equations and identities

Recent questions in Trigonometric equations and identities

Kade Reese 2022-07-26

Prove the given identities.
1. $\cos^{4} (x) - \sin^{4} (x) = \cos (2 x)$
2. $\frac{1 - \cos (X)}{1 + \cos (X)} = \tan^{2} (\frac{x}{2})$

Leila Jennings 2022-07-26

Solve the trigonometric equations on the interval $0 \leq θ < 2 π$ .
(32) $4 (1 + \sin θ) = \cos^{2} θ$
(38) $\sec θ = \tan θ + \cot θ$
(40) $\sqrt{3} \sin θ + \cos θ = 1$

vangstosiis 2022-07-25

How do you find $\tan (20)$ using the unit circle?

Rapsinincke 2022-07-16

Find all values of x in the interval $[0, 2 π]$ that satisfy the equation:
$2 + \cos 2 x = 3 \cos x$

Kyle Sutton 2022-07-16

Find all values of x in the interval $[0, 2 π]$ that satisfy the equation:
$2 \cos x - 1 = 0$

Ellen Chang 2022-07-16

Find all values of x in the interval $[0, 2 π]$ that satisfy the equation:
$3 \cot^{2} x = 1$

kolutastmr 2022-07-16

Transforming the equation $\cot x - \cos x = 0$ into the form $\cos x (1 - \sin x) = 0$

Ellie Benjamin 2022-07-16

Does this trigonometric equation: $\frac{z}{2} \csc (\frac{z}{2}) = 1$ , have solutions other than zero?

Caleb Proctor 2022-07-15

Find all values of x in the interval $[0, 2 π]$ that satisfy the equation:
$2 \sin^{2} x = 1$

racodelitusmn 2022-07-15

Find all values of x in the interval $[0, 2 π]$ that satisfy the equation:
$\sin 2 x = \cos x$

pipantasi4 2022-07-15

Find all values of x in the interval $[0, 2 π]$ that satisfy the equation:
$2 \cos x = - \sin 2 x$

rjawbreakerca 2022-07-14

Find all solutions to the equation $3 \sec^{2} (x) - 4 = 0$

rmd1228887e 2022-07-14

Trigonometric identities: $\frac{1 + \cos (a)}{1 - \cos (a)} + \frac{1 - \cos (a)}{1 + \cos (a)} = 2 + 4 \cot^{2} (a)$

veneciasp 2022-07-13

Find all values of x in the interval $[0, 2 π]$ that satisfy the equation:
$\sin x = \tan x$

Lena Bell 2022-07-12

If $\sin^{2} x$ + $\sin^{2} 2 x$ + $\sin^{2} 3 x$ = 1, what does $\cos^{2} x$ + $\cos^{2} 2 x$ + $\cos^{2} 3 x$ equal?

Keenan Santos 2022-07-11

Finding an identity to solve $\cos t - 2 \cos (2 t) = 0$

Janet Forbes 2022-07-10

Solve Trigonometric Equation $\csc^{2} x + 2 \cot x - 5 = 0$ for $0 \leq x \leq 2 π)$

Joshua Foley 2022-07-10

determine the roots of the equation $7 \sec^{2} x + 2 \tan x - 6 = 2 \sec^{2} x + 2$ when $0 \leq x \leq 2 π$

orlovskihmw 2022-07-09

Trying to solve the trig equation $\sqrt{3 + 4 \cos^{2} (x)} = \frac{\sin (x)}{\sqrt{3}} + 3 \cos (x)$

dream13rxs 2022-07-08

How to find the solution of this trigonometric equation
$\cot (x + 110^{\circ}) = \cot (x + 60^{\circ}) \cot x \cot (x - 60^{\circ})$
I have used the formulae
$\cos (x + 60^{\circ}) \cos (x - 60^{\circ}) = \cos^{2} 60^{\circ} - \sin^{2} x$
$\sin (x + 60^{\circ}) \sin (x - 60^{\circ}) = \sin^{2} x - \sin^{2} 60^{\circ}$
How to move further? What is the least positive value of x?

The majority of students do not like Trigonometry because they find all the questions and equations overly complex. Do not let it frighten you because we have lots of answers that will help you achieve solutions by turning to already existing tasks. We have practical works on all the twelve trigonometric identities and equations with 45 formulas that you can apply in your work. Since you can take a look at the resolved assignments, you will become a trigonometric identities and equations solver that can start with the formulas and continue with the graphics, analytical calculation, and related word problems.

Trigonometry

Demystify Trigonometric Equations and Identities with Step-by-Step Examples and Expert Guidance