document.write( "Question 57556:
\n" ); document.write( "1). Find the length of an arc that subtends a central angle of 150 ° in a circle of radius 5 centimeters.
\n" ); document.write( "a. 25 π /6 centimeters
\n" ); document.write( "b. 750 centimeters
\n" ); document.write( "c. 30 centimeters
\n" ); document.write( "d. π /6 centimeters \r
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\n" ); document.write( "\n" ); document.write( "2). Find the values of the six trigonometric functions of the acute angle in standard position with the terminal side passing through the point P(8, 6).
\n" ); document.write( "a. sin θ = 3/5; cos θ = 4/5; tan θ = 4/3; csc θ = 5/3; sec θ = 5/4; cot θ = 3/4
\n" ); document.write( "b. sin θ = 4/5; cos θ = 3/5; tan θ = 4/3; csc θ = 5/4; sec θ = 5/3; cot θ = 3/4
\n" ); document.write( "c. sin θ = 3/5; cos θ = 4/5; tan θ = 3/4; csc θ = 5/3; sec θ = 5/4; cot θ = 4/3
\n" ); document.write( "d. sin θ = 4/5; cos θ = 3/5; tan θ = 3/4; csc θ = 5/4; sec θ = 5/3; cot θ = 4/3 \r
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\n" ); document.write( "\n" ); document.write( "3). If θ is an acute angle in standard position and cos θ = 4/5, find sin θ .
\n" ); document.write( "a. 4/3
\n" ); document.write( "b. 5/4
\n" ); document.write( "c. 5/3
\n" ); document.write( "d. 3/5 \r
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\n" ); document.write( "\n" ); document.write( "4). If θ is an acute angle in standard position and cot θ = 12/5, find sin θ .
\n" ); document.write( "a. 12/13
\n" ); document.write( "b. 5/13
\n" ); document.write( "c. 13/12
\n" ); document.write( "d. 13/5 \r
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\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #39279 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
1). Find the length of an arc that subtends a central angle of 150 ° in a circle of radius 5 centimeters.
\n" ); document.write( "The circumference is 10pi
\n" ); document.write( "Let arc length be \"x\".
\n" ); document.write( "x/150=10pi/360
\n" ); document.write( "x=(25/6)pi centimeters
\n" ); document.write( "2). Find the values of the six trigonometric functions of the acute angle in standard position with the terminal side passing through the point P(8, 6).
\n" ); document.write( "Plot the point.
\n" ); document.write( "Construct the right triangle with opp = 6; adjacent=8; hypotenuse=sqrt(6^2+8^2)=10
\n" ); document.write( "c. sin θ = 3/5; cos θ = 4/5; tan θ = 3/4; csc θ = 5/3; sec θ = 5/4; cot θ = 4/3
\n" ); document.write( "-------------------------\r
\n" ); document.write( "\n" ); document.write( "3). If θ is an acute angle in standard position and cos θ = 4/5, find sin θ .
\n" ); document.write( "Use the same figure you used in #2
\n" ); document.write( "d. 3/5
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\n" ); document.write( "4). If θ is an acute angle in standard position and cot θ = 12/5, find sin θ .
\n" ); document.write( "Draw the triangle in the 1st quadrant. The hypotenuse is 13; adj=12;opp=5
\n" ); document.write( "sin=opp/hyp
\n" ); document.write( "b. 5/13
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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