What is the exact value of tangent (negative StartFraction pi Over 3 EndFraction)

tan(-π/3) =  -1.732050808

Step-by-step explanation:

Given in the question, we have to find the value of tan(-pi/3) or it can be written as:

where x is the exact value of the given tangent.

However, in this question, one may get confused and put the value of π = 3.14, which is wrong. The value given is in radians, which is used to measure angles, just like degrees.

To make it easier, lets convert the radians into degrees. We know that

π = 180°

-π/3 = -180/3 = -60°

Find x:

x = tan (-60°)

x = -1.732050808

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.