Question

if sin θ = -1/2 and θ lies in Quadrant IV, find the values of all the other five trigonometric functions.

Answer 1

Given: sin θ = \(\frac{-1}{2}\)

Since, θ is in IVth Quadrant. So, sin and tan will be negative but cos will be positive. 

We know that,

sin² θ + cos² θ = 1

Putting the values, we get

Since, θ in IVth quadrant and cosθ is positive in IVth quadrant

∴ cos θ = \(\frac{\sqrt{3}}2{}\)

Now,

Now,

= \(-\sqrt{3}\)

Hence, the values of other trigonometric Functions are: