cos 2x 1 2sin 2 x How do you prove cos 2x 1 2 sin2 x using other trigonometric identities Trigonometry Trigonometric Identities and Equations Proving Identities 1 Answer Jim G Mar
In this video we will learn to verify the trigonometry identity cos 2x 1 2sin 2 x Other titles for the video are verify cos 2x 1 2sin 2 xProve cos 2 Recall the Pythagorean Identity sin2x cos2x 1 Which can be manipulated into this form cos2x 1 sin2x In our equation we can replace cos2x with this to get 1 sin2x
cos 2x 1 2sin 2 x
cos 2x 1 2sin 2 x
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Subtract sin x 2 sin x 2 from sin x 2 sin x 2 Because the two sides have been shown to be equivalent the equation is an identity Free math problem solver answers your algebra 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
Solution steps cos 2x 1 2sin2 x Manipulating left side cos 2x Rewrite using trig identities cos2 x sin2 x Use the Pythagorean identity cos2 x sin2 x 1 cos2 x 1 sin2 x How do you prove cos2x 1 2sin 2x using other trigonometric identities Get the answer to this question and access a vast question bank that is tailored for students
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In mathematics an identity is an equation which is always true regardless of the specific value of a given variable An identity can be trivially true such as the equation x x or an identity can be usefully true such as the Pythagorean cos 2x cos 2x sin 2x tag1 sin 2x cos 2x 1 tag2 Make use of these two formulas twice once by substituting in another expression for sin 2x and then for
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cos 2x 1 2sin 2 x - Subtract sin x 2 sin x 2 from sin x 2 sin x 2 Because the two sides have been shown to be equivalent the equation is an identity Free math problem solver answers your algebra