Question

Find the exact value of trigonometric function tan(-3π/2)

Answer 1

Answer:

Step-by-step explanation:

Tan

tan

(3π) = Undefined

2

Just remember that, the periodicity of tan function is π.

Tan tan

(3π)

2

Break down the angle inside the function by applying the fraction rule

a+b = a +b

c. c. c as: = tan (2π + π )

2

Simply: = tan (π+π)

2

As stated above,

tan (π+x)=tan(x) we get: = tan( π)

2