In this question , we have to find the value of tan 30 and we need to write the answer in simplified form .
![tan x = \frac{sin x}{ cos x}](https://tex.z-dn.net/?f=tan%20x%20%3D%20%5Cfrac%7Bsin%20x%7D%7B%20cos%20x%7D)
Substituting the values of sin (30) and cos(30, we will get
![tan (30) = \frac{1/2}{ \sqrt{3} /2}](https://tex.z-dn.net/?f=tan%20%2830%29%20%3D%20%5Cfrac%7B1%2F2%7D%7B%20%5Csqrt%7B3%7D%20%2F2%7D)
Multiplying both numerator and denominator by 2, we will get
![tan(30 ) = \frac{1}{ \sqrt3}](https://tex.z-dn.net/?f=tan%2830%20%29%20%20%3D%20%5Cfrac%7B1%7D%7B%20%5Csqrt3%7D)
TO simplify it, we need to multiply both numerator and denominator by square root 3.
![tan(30) = \frac{ \sqrt 3}{ \sqrt3 * \sqrt 3} = \frac{ \sqrt 3}{3}](https://tex.z-dn.net/?f=tan%2830%29%20%3D%20%5Cfrac%7B%20%5Csqrt%203%7D%7B%20%5Csqrt3%20%2A%20%5Csqrt%203%7D%20%3D%20%5Cfrac%7B%20%5Csqrt%203%7D%7B3%7D)
This would be 85 use the percent in division
This may be the answer,hope it helps
D for the same reason percents
Y=5
Step By Step:
180-75-75
30
4y+10=30
4y=20
y=5
Since this is an isosceles, you know that angle B is congruent to angle C (they’re both 75°).