Given the diagram below, what is tan(60°)?
triangle not drawn to scale

Option B.

Step-by-step explanation:

Let

y -----> the opposite side to angle of 60 degrees (or adjacent side to angle of 30 degrees)

x ----> the adjacent side to angle of 60 degrees (or opposite side to angle of 30 degrees)

we know that

The tangent of angle of 60 degrees is equal to divide the opposite side to angle of 60 degrees by the adjacent side to angle of 60 degrees

so

Find the value of y

Remember that

----> adjacent side to angle of 30 degrees by the hypotenuse

so

Find the value of x

Remember that

----> opposite side to angle of 30 degrees by the hypotenuse

so

Find the value of tan(60°)

substitute the values of x and y

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2