cos 2 x sinx 1 0 Trigonometry Solve for x 2cos x 2 sin x 1 0 Step 1 Replace the with based on the identity Step 2 Simplify each term Tap for more steps Step 2 1 Apply the distributive property
Cos 2 x sinx 1 can be written as sinx 1 cos 2x sin 2x I have assumed that by cos 2 x sin 1 one meant cos 2 x sinx 1 or sin 2x sinx 0 or sinx sinx 1 0 Hence Solve your math problems using our free math solver with step by step solutions Our math solver supports basic math pre algebra algebra trigonometry calculus and more
cos 2 x sinx 1 0
cos 2 x sinx 1 0
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Find The DERIVATIVE Of Sinx cosx step By Step YouTube
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IIT 1981 Find The Solution Of Sinx Cosx 1 YouTube
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Let s first of all convert everything to sinx Consider the pythagorean identity sin2x cos2x 1 Rearranging cos2x 1 sin2x Now substituting into our equation 2 1 sin2x Solve this quadratic equation Because a b c 0 one real root is t1 1 and the other is t2 1 2 Next solve the basic trig equation t1 sinx 1 x 2 Solve t2 sinx
Solve your math problems using our free math solver with step by step solutions Our math solver supports basic math pre algebra algebra trigonometry calculus and more cos 2x cos 2 x sin 2 x So cos 2x 1 has solutions of the form 2x 2k pi for k in Bbb Z That is x k pi where k in Bbb Z
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Solve trig equation Explanation displaystyle 4 cos 2 x 5 sin x cos x 6 0 Try to transform the equation into a linear function in sin 2x and cos 2x Replace We can use the identity sin2 x cos2 x 1 cos2 x sin x 1 1 sin2 x sin x 1 sin2 x sin x 2 0 0 0 Now you have a quadratic in sinx For example set t sinx and you ll have a
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cos 2 x sinx 1 0 - cos 2x cos 2 x sin 2 x So cos 2x 1 has solutions of the form 2x 2k pi for k in Bbb Z That is x k pi where k in Bbb Z