document.write( "Question 329512: I'm kinda stuck on these three identity Questions: Could you explain how to solve these to me. Please and Thankyou.
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\n" ); document.write( "6. Find the exact value of sin 2 θ given that cos θ = 12/13 and θ is in Quadrant I.
\n" ); document.write( "a. -120/169
\n" ); document.write( "b. 120/169
\n" ); document.write( "c. 60/169
\n" ); document.write( "d. -60/169
\n" ); document.write( "*sin(2θ)=2sin(θ)cos(θ)
\n" ); document.write( "sin(2θ)=2sin(θ)cos(12/13)
\n" ); document.write( "sin(2θ)=?\r
\n" ); document.write( "\n" ); document.write( "8. Find the value of the tan of a/2 given that cos a = -4/5 and a is in Quadrant II.
\n" ); document.write( "a. 3
\n" ); document.write( "b. 1/2
\n" ); document.write( "c. -2
\n" ); document.write( "d. -1/2
\n" ); document.write( "*tan(a/2)=1-cos(a)/sin(a)
\n" ); document.write( "tan(a/2)=1-cos(-4/5)/sin(1/5)
\n" ); document.write( "tan(a/2)=?\r
\n" ); document.write( "\n" ); document.write( "14. Evaluate sin 165 ° + sin 105 ° .
\n" ); document.write( "*My answer was -√(2)/2. Am I correct?
\n" ); document.write( "15. Evaluate sin(π/12)-sin((5π)/12).
\n" ); document.write( "*My answer was 1. Am I correct?
\n" ); document.write( "

Algebra.Com's Answer #236191 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
6. Find the exact value of sin 2 θ given that cos θ = 12/13 and θ is in Quadrant I.
\n" ); document.write( "a. -120/169
\n" ); document.write( "b. 120/169
\n" ); document.write( "c. 60/169
\n" ); document.write( "d. -60/169
\n" ); document.write( "*sin(2θ)=2sin(θ)cos(θ)
\n" ); document.write( "sin(2θ)=2sin(θ)cos(12/13)
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\n" ); document.write( "sin^2 + cos^2 = 1
\n" ); document.write( "\"sin%28t%29+=+sqrt%281+-+cos%5E2%28t%29%29\"
\n" ); document.write( "= \"sqrt%281+-+%28144%2F169%29%29+=+sqrt%2825%2F169%29+=+5%2F13\"
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\n" ); document.write( "sin(2t) = 2sin(t)cos(t)
\n" ); document.write( "= 2(5/13)*(12/13)
\n" ); document.write( "= 120/169
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\n" ); document.write( "8. Find the value of the tan of a/2 given that cos a = -4/5 and a is in Quadrant II.
\n" ); document.write( "a. 3
\n" ); document.write( "b. 1/2
\n" ); document.write( "c. -2
\n" ); document.write( "d. -1/2
\n" ); document.write( "*tan(a/2)=1-cos(a)/sin(a)
\n" ); document.write( "tan(a/2)=1-cos(-4/5)/sin(1/5)
\n" ); document.write( "tan(a/2)=?
\n" ); document.write( "14. Evaluate sin 165° + sin 105°
\n" ); document.write( "*My answer was -√(2)/2. Am I correct?
\n" ); document.write( "You can use a calculator to see that's not correct.
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\n" ); document.write( "15. Evaluate sin(π/12)-sin((5π)/12).
\n" ); document.write( "*My answer was 1. Am I correct?
\n" ); document.write( "No. Use a calculator to see that it's -sqrt(2)/2
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