Question

if f(x)=log(sin x) then find f(π/2)​

Answer 1

f(x)=log(sinx)

f(π/2)=log(1)

f(π\2)=0

Answer 2

Given:

f(x)=log(sin x)

To find:

f(π/2)​

Solution:

The required value of f(π/2)​ is 0.

We can obtain the value by substituting the value of π/2 and using the concept of trigonometric values and logarithm.

The function given to us is f(x)=log(sin x).

The given value of x=π/2

So, using the value of x, we get

f(π/2)=log (sin π/2)

Sin π/2=sin 180°/2= sin 90°

Now, we know that sin 90°=1.

Using the value of sin 90°,

f(π/2)=log(sin 90°)

f(π/2)=log 1

Also, log 1=0.

f(π/2)=0

Therefore, the required value of f(π/2)​ is 0.