Question

please solve this question ..........please

$<marquee scrollamount=1300>❤ please❤</marquee>$​​

Answer 1

As

cos(a+b)=cos(a)cos(b)−sin(a)sin(b)  

cos(a−b)=cos(a)cos(b)+sin(a)sin(b)  

sin(c+d)=sin(c)cos(d)+cos(c)sin(d)  

sin(a+b)=sin(c)cos(d)−cos(c)sin(d)  

we have

cos(a+b)∗sin(c+d)=cos(a−b)∗sin(c−d)  

=>sin(c+d)sin(c−d)=cos(a−b)cos(a+b)  

=>sin(c)cos(d)+cos(c)sin(d))sin(c)cos(d)−cos(c)sin(d))=cos(a)cos(b)+sin(a)sin(b)cos(a)cos(b)+sin(a)sin(b)  

=>sin(c)cos(d)cos(c)sin(d)=cos(a)cos(b)sin(a)sin(b)  

=>tan(c)∗cot(d)=cot(a)∗cot(b)  

=>cot(a)∗cot(b)∗cot(c)=cot(d)

Answer 2

Answer:

Refer to the attachment