Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Express the product of cos 30°and 45° in simple simplest radical form

Sagot :

This means the multiplication of the cos of the particular angles

[tex]cos(30^{o}) = \frac{ \sqrt{3} }{2} , cos(45^{o}) = \frac{ \sqrt{2} }{2} [/tex]

So, multiplying them together is 

[tex]= \frac{ \sqrt{3} }{2} *\frac{ \sqrt{2} }{2} = \frac{ \sqrt{6} }{4}[/tex]
[tex]cos30^0= \frac{ \sqrt{3} }{2} \ \ \ and\ \ \ cos45^0= \frac{ \sqrt{2} }{2}\\\\cos30^0\cdot cos45^0= \frac{ \sqrt{3} }{2}\cdot \frac{ \sqrt{2} }{2}= \frac{ \sqrt{3} \cdot \sqrt{2} }{2\cdot 2}=\frac{ \sqrt{6} }{4}[/tex]