If and θ lies in Quadrant IV, find the values of all the other five trigonometric functions.

Question

Philoid · Accepted Answer

Given: sec θ = √2

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

Now, we know that

Putting the values, we get

…(i)

We know that,

cos² θ + sin² θ = 1

Putting the values, we get

[given]

Since, θ in IV^th quadrant and sinθ is negative in IV^th quadrant

Now,

Putting the values, we get

=-1

Now,

Putting the values, we get

= -√2

Now,

Putting the values, we get

= -1

Hence, the values of other trigonometric Functions are: