document.write( "Question 919721: if cos theta = 1/3, theta is in Q IV, find the exact value of sin(theta+pie/3) \n" ); document.write( "

Algebra.Com's Answer #557913 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi
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document.write( "cos(θ) = 1/3  Then  sin(θ)= √2/3  Note: 1^2 + (√2)^2 = 3
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document.write( "sin(θ + π/3) = sinθcos(π/3) + cosθsin(π/3)
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document.write( "sin(θ + π/3) = (√2/3)cos(π/3) + (1/3)sin(π/3)
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document.write( "Plug and Play
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document.write( "sin(θ + π/3) = (√2/3)(1/2) + (1/3)(√3/2)  
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document.write( "............
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document.write( "θ	radians	sin θ	cos θ	tan θ
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document.write( "0°	0	0	1	0
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document.write( "30°	π/6	1/2	√3/2	√3/3
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document.write( "45°	π/4	√2/2	√2/2	1
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document.write( "60°	π/3	√3/2	1/2	√3
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document.write( "90°	π/2	1	0	─
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document.write( "      \n" );
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