aussy123
Given: a and B are firstquadrant angles, sin a=5/13, and cosB= 3/5. evaluate sin(aB).
a.) 33/65
b.) 33/65
c.) 63/65



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ash2326
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Use this here
\[\sin (AB)=\sin A\times \cos B\sin B\times \cos A\]

ash2326
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sin a=5/13, and cosB= 3/5

aussy123
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I tried this but the book is asking me to subtitute pi/2 for a

aussy123
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and I know I have to solve for sin B and cos A

ash2326
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\[\sin (B)=\cos (\frac {\pi}{2} B)\]
\[\cos A=\sin (\frac{\pi}{2}{A})\]
you can use
\[\sin^2 x+\cos^2 x=1\]
to figure out sin B and cos A

aussy123
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ok ill try this

aussy123
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cos a= 12/13

ash2326
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correct :)