2 cos 2 x 3 cos x 1 0 Integer solution Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science
This can be factored as follows 2t 2 2t t 1 0 2t t 1 1 t 1 0 2t 1 t 1 0 t 1 2 and 1 We can replace t with cosx cosx 1 2 and cosx 1 x pi 3 Set cos x 1 cos x 1 equal to 0 0 and solve for x x Tap for more steps x 2 n 2 2 n x 2 n 2 2 n for any integer n n The final solution is all the values that
2 cos 2 x 3 cos x 1 0
2 cos 2 x 3 cos x 1 0
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Explanation 2cos2 x 1 3cos x 1 0 2u2 3u 2 0 u 2 2u 1 0 u 2 is extraneous because cos x cannot equal 2 cos x 1 2 is the only possible root x Free math problem solver answers your trigonometry homework questions with step by step explanations
Trigonometric Equation Solve 2 cos 2 x 3 cos x 1 0 Anna from SVSU Micro Math helps you solve a trigonometric equation To solve this equation we make a substitution Let y cos x Then the equation becomes 3y 2 y 2 0 This can be solved using the quadratic formula or any other method for solving quadratics The two solutions are y 1
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In this section we will begin an examination of the fundamental trigonometric identities including how we can verify them and how we can use them to simplify trigonometric Detailed step by step solution for 2cos 2 x 3cos x 1 0
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2 cos 2 x 3 cos x 1 0 - Trigonometric Equation Solve 2 cos 2 x 3 cos x 1 0 Anna from SVSU Micro Math helps you solve a trigonometric equation To solve this equation we make a substitution