## anonymous one year ago evaluate

1. anonymous

|dw:1436242811607:dw|

2. Astrophysics

3. Astrophysics

Now use your trig ratios to figure it out, with the triangles

4. Astrophysics

|dw:1436243008504:dw|

5. anonymous

could i use the unit circle and put it this way? (1/2) (1/2) + (sqrt3/2) (sqrt 3/2)

6. Astrophysics

You could use unit circle!

7. Astrophysics

This is part of the unit circle, but if you're more comfortable with the circle itself, that's great :)

8. Astrophysics

That looks good, now simplify it

9. anonymous

okay so i got 1/4+3/2?

10. Astrophysics

What is $\frac{ \sqrt{3} }{ 2 } \times \frac{ \sqrt{3} }{ 2 }$

11. anonymous

sqrt 9/4

12. anonymous

i got it! thank you the answer would be 1

13. Astrophysics

Yup :)

14. anonymous

ok on to the next one lol

15. UsukiDoll

a square root x a square root is just the number itself $\sqrt{3} \times \sqrt{3} = 3$ in exponential form $3^{\frac{1}{2}}3^{\frac{1}{2}} \rightarrow 3^{\frac{1}{2}+\frac{1}{2}} \rightarrow 3^{\frac{2}{2}} \rightarrow 3^1 \rightarrow 3$

16. UsukiDoll

you would be asked to simplified further so we had to take that extra step... otherwise everything is correct, but careful there are teachers/professors who have no problem taking points off for not giving a simplified answer.