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Exercise

$cos\left(x+20\right)=\frac{\sqrt{3}}{2}$

Step-by-step Solution

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation cos(x+20)=(3^(1/2))/2. The angles where the function \cos\left(x+20\right) is 0 are. Solve the equation (1). Factor the polynomial 30+360n by it's greatest common factor (GCF): 30. We need to isolate the dependent variable x, we can do that by simultaneously subtracting 20 from both sides of the equation.
Solve the trigonometric equation cos(x+20)=(3^(1/2))/2

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Final answer to the exercise

$x=\frac{-1}{9}\pi,\:x=\frac{-1}{9}\pi\:,\:\:n\in\Z$

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Similar Questions Solved

$2\cos^2x-1=0$

$2\sin^2x-1=0$

$2cos^2x-1=0$

$2\sin\left(x\right)-1=0$

$2\sin\left(x\right)=\sqrt{3}$

$2\sin\left(x\right)+\sqrt{3}=0$

$\tan\left(x\right)+\sqrt{3}=0$

Main Topic: Trigonometric Equations

A trigonometric equation is an equation in which one or more trigonometric ratios appear.

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