Question

cos 15 ×sin 75 Answer....​

Answer 1

Answer:

Cos(45-30)*sin(45+30)

=(cos45cos30+sin45sin30)*(sin45cos30-cos45sin30)

=$\frac{1}{\sqrt{2} }$*$\frac{\sqrt{3} }{2} +\frac{1}{\sqrt{2} } *\frac{1}{2}$  * $\frac{1}{\sqrt{2} } *\frac{\sqrt{3} }{2} -\frac{1}{\sqrt{2} }*\frac{1}{2}$

=$\frac{\sqrt{3}-1 }{2\sqrt{2} } *\frac{\sqrt{3}+1 }{2\sqrt{2} }$

=$\frac{3-1}{8}$

=2/8

=1/4

Step-by-step explanation:

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