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Prove that:cos(pi/4-x)cos(pi/4-y)-sin(pi...

Prove that:`cos(pi/4-x)cos(pi/4-y)-sin(pi/4-x)sin(pi/4-y)=sin(x+y)`

Text Solution

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Given that,
`cos( pi/4−x)cos(pi/4−y)−sin(pi/4-x)sin(pi/4+x)` We know that, `cos(A+B)=cosAcosB−sinAsinB`
Here,` A= (pi/4-x) ` and `B =(pi/4 -y)`
...
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