1. what’s the exact value of cot[cot^-1 sqrt3/3] ?
2. what’s the exact value of sin^-1(cos pi/2)?
3. what’s the exact value of tan(sin^-1 x/2) ?

Answer and Explanation :

1) Expression

We have to find the exact solution of the expression.

We know the inverse property,

Applying the property,

Therefore, The exact solution is        

2) Expression

We have to find the exact solution of the expression.

We know that,

Applying the property,

Applying inverse property,

Therefore, The exact solution is

3) Expression

We have to find the exact solution of the expression.

Let  

i.e.    

Squaring both side,  

Now, The expression became

We can write tan in form of sin and cosine as

We know,

Substituting,

Now, put the value of sin y

Therefore, The exact solution is

answer: c

(2, -4)

goes 7 to the

(9, 4)

easy