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

Question

Philoid · Accepted Answer

Given:

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

Now, we know that

Putting the values, we get

…(i)

We know that,

sin² θ + cos² θ = 1

Putting the values, we get

[from (i)]

Since, θ in II^nd quadrant and cosθ is negative in II^nd quadrant

Now,

Putting the values, we get

Now,

Putting the values, we get

Now,

Putting the values, we get

Hence, the values of other trigonometric Functions are: