2 cos x square root of 3 0 Free Pre Algebra Algebra Trigonometry Calculus Geometry Statistics and Chemistry calculators step by step
Explanation We have 2cosx 3 0 We can simplify it this way 2cosx 3 cosx 3 2 x 6 30o Ok so we have our reference angle Now let s apply it to a coordinate system Cosine is positive in Q1 and in Q4 In Q1 we have the angle already as 6 Find the all solutions of this equation in the interval 0 2 2cos x square root of 3 0
2 cos x square root of 3 0
2 cos x square root of 3 0
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cos x sqrt3 2 hence x pi 6 11pi 6 in the interval 0 2pi General solution would be x 2kpi pi 6 where k 0 1 2 Trigonometric Equation Solve 2 cos x 3 0 Anna from SVSU Micro Math helps you solve a trigonometric equation Problem Solve 2 cos x 3 0 more
How do you solve displaystyle 2 cos x sqrt 3 0 for x in the interval 0 2pi Click here to get an answer to your question 2 cos x square root of 3
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Detail steps Helpful Not Helpful Super Gauth AI Still have questions For faster and more accurate answers Check answer now Click here to get an answer to your question 2cos x square root of 3 0 Use inverse trigonometric functions to find the solutions and check for extraneous solutions A basic trigonometric equation has the form sin x a cos x a tan x a cot x a The formula to convert radians to degrees degrees radians 180
Explanation 2cos x 3 0 XXXcos x 3 2 This is a standard trigonometric ratio for a 6 reference angle Within the interval XXXx 6 or x 6 For all solutions it is necessary to include all possoble full circle increments XXXx 2n 6 n Z Answer link First we want to isolate the cosine term so we can use the inverse cosine function to solve for x 2cosx 3 0 2cosx 3 cosx 3 2 Now we can use the inverse cosine function cos 1 to solve for x x cos 1 3 2 Using a calculator or reference table we find that x 5 6 2 n or x 7 6 2 n where n is any integer
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2 cos x square root of 3 0 - Trigonometric Equation Solve 2 cos x 3 0 Anna from SVSU Micro Math helps you solve a trigonometric equation Problem Solve 2 cos x 3 0 more