Question

Type the correct answer in the box.Use numerals instead of words. If necessary, use / for the fraction bar.AABC is a right triangle in which ZB is a right angle, AB= 1, AC=2, and BC= √3.cos Cx sin A =10tum. All rights reserved.ResetNext60°B

Answer 1

According to the length of each side, this triangle satisfies the Pitagoras Theorem, therefore is a rectangle triangle, look

$2^2=(\sqrt{3}\text{ })^2+1^2$

Now

$cos(C)=\frac{\sqrt{3}}{2},\text{ }sin(A)=\frac{\sqrt{3}}{2}\text{ }\Rightarrow cos(C)\times sin(A)=(\frac{\sqrt{3}}{2})^2=\frac{3}{4}$

The answer is 3/4.