Question 1032964
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Use the sum or difference identities to find the exact value of the trigonometric function.
sin(735 degrees)
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sin(735°) = sin(720° + 15°) = sin(15°),   since sine is periodical function with the period of 360°.

sin(15°) = {{{sqrt((1-cos(30^o))/2)}}} =   (formula of half argument for sine, see the lesson  <A HREF=https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometric-functions-of-half-argument.lesson>Trigonometric functions of half argument</A>  in this site)

= {{{sqrt((1 - sqrt(3)/2)/2)}}} = {{{sqrt((2-sqrt(3))/4)}}} = {{{sqrt(2-sqrt(3))/2}}}.


See also the lesson  <A HREF=https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometric-functions-of-half-argument-Examples.lesson>Trigonometric functions of half argument - Examples</A>,  Example 2. 
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