Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you solve $2 cos 3 t = 1$ $2cos3t=1$ ?

1 Answer

Jul 16, 2015

Solve 2cos 3t = 1
$t = \pm 20$ $t = +- 20$ deg

Explanation:

2cos 3t = 1 --> cos 3t = 1/2 --> $3 t = \pm \frac{π}{3}$ $3t = +- pi/3$ or $\pm 60$ $+-60$ deg ->

$t = \pm \frac{π}{9}$ $t = +- pi/9$ or $\pm 20$ $+- 20$ deg

Related questions

How do you find all solutions trigonometric equations?
How do you express trigonometric expressions in simplest form?
How do you solve trigonometric equations by factoring?
How do you solve trigonometric equations by the quadratic formula?
How do you use the fundamental identities to solve trigonometric equations?
What are other methods for solving equations that can be adapted to solving trigonometric equations?
How do you solve ${sin}^{2} x - 2 sin x - 3 = 0$ $\sin^2 x - 2 \sin x - 3 = 0$ over the interval $[0, 2 π]$ $[0,2pi]$ ?
How do you find all the solutions for $2 {sin}^{2} \frac{x}{4} - 3 cos \frac{x}{4} = 0$ $2 \sin^2 \frac{x}{4}-3 \cos \frac{x}{4} = 0$ over the...
How do you solve ${cos}^{2} x = \frac{1}{16}$ $\cos^2 x = \frac{1}{16}$ over the interval $[0, 2 π]$ $[0,2pi]$ ?
How do you solve for x in $3 sin 2 x = cos 2 x$ $3sin2x=cos2x$ for the interval $0 ≤ x < 2π$

See all questions in Solving Trigonometric Equations

Impact of this question

2983 views around the world

You can reuse this answer
Creative Commons License