document.write( "Question 1152510: If f(0) = sin0 and k(0) = tan0, find f(480)+k(390). Do not use a calculator and show fina answer please with steps. thanks \n" ); document.write( "

Algebra.Com's Answer #774537 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "They want you calculate sin(480°) + tan(390°).\r\n" );
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document.write( "The angle 480° is more than 1 full rotation, which, as you should know, is 360°.\r\n" );
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document.write( "So, the angle of 480° is equivalent to  480° - 360° = 120°,  and sin(480°) = sin(120°).\r\n" );
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document.write( "What is sin(120°), knows every student:  it is  .\r\n" );
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document.write( "The angle 390° is also more than 1 full rotation and is equivalent to 390° - 360° = 30°.  \r\n" );
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document.write( "Therefore,  tan(390°) = tan(30°).  What is  tan(30°),  knows any student:  it is  .\r\n" );
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document.write( "Therefore, the  ANSWER  to the problem's question is\r\n" );
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document.write( "   sin(480°) + tan(390°) =  + .\r\n" );
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document.write( "You may transform this expression further, if you want or if you need.\r\n" );
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