2cos3x sin 3pi 2 x sin 3pi 2 cosx cos 3 pi 2 sinx 1 cosx 0 sinx cosx Explanation Use the composite argument property for sin A B sinAcosB cosAsinB to disolve the left hand side and simplify to show that it equals the right hand side
Recall that an odd function is one in which f x f x for all x in the domain of f The sine function is an odd function because sin sin The graph of an odd function is symmetric about the origin For example consider corresponding inputs of Cos 3 2 x sin x cos 3 2 x sin x is an identity Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor
2cos3x sin 3pi 2 x
2cos3x sin 3pi 2 x
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Sin 3pi 2 Find Value Of Sin 3pi 2 Sin 3 2
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I know the sine of 3 pi 2 is 1 So i plug it in the function making it sin 1 x cos x However I don t know where to go from here Answer link Using the identities cos x pi 2 sin x sin x pi 2 cos x We have cos x 3pi 2 cos x pi pi 2 sin x pi sin x pi 2 pi 2 cos x pi 2 sin x
In this video we verify the trigonometric identity cos 3pi 2 x sin x To do this we use the difference identity for the cosine function Useful Math Su Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition history geography engineering mathematics linguistics sports finance music
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Using the addition formulae for cosine xcos A B cosAcosB sinAsinB cos 3 2 x cos 3 2 cosx sin 3 2 sinx 0cosx 1 sinx Simplify frac sec x sin 2 x 1 sec x sin x sin frac x 2 0 0 le x le 2 pi cos x sin x 0 3 tan 3 A tan A 0 A in left 0 360 right sin 75 cos 15
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2cos3x sin 3pi 2 x - Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition history geography engineering mathematics linguistics sports finance music