Question

1. What is the value of sin 67° to the nearest ten-thousandth?

2. What is the value of cos 34° to the nearest ten-thousandth?

3. 4√6/√30 simplify by rationalizing the denominator.

Answer 1

i dont know the other answer but i know that sin 67 is 0.9205

Answer 2

Using a calculator, the values to the nearest 10 thousands are

1)$\sin 67^o=0.9205$

2)$\cos 34^o=0.8290$

3) The given fraction is $\frac{4\sqrt{6}}{\sqrt{30}}$. Rationalizing the denominator,

$\frac{4\sqrt{6}}{\sqrt{30}} =\frac{4\sqrt{6}}{\sqrt{30}} \frac{\sqrt{30}}{\sqrt{30}} \\ =\frac{4\sqrt{180}}{30} \\ =\frac{24\sqrt{5}}{30} \\ =\frac{4\sqrt{5}}{5}$