# Prove the following are identities using the definitions of the inverse trig functions and show all steps. Assume the relevant part of the cofunction theorem for part b, that is cot(theta)=tan(pi/2 - theta) for all angles theta with theta cannot equal npi for each integer n. b:cot^-1x= pi/2- tan^-1 x

Question
1 views

Prove the following are identities using the definitions of the inverse trig functions and show all steps. Assume the relevant part of the cofunction theorem for part b, that is cot(theta)=tan(pi/2 - theta) for all angles theta with theta cannot equal npi for each integer n.

b:cot^-1x= pi/2- tan^-1 x

check_circle

Step 1

According to the given information it is needed to prove that:

Step 2

Let us assume that;

Step 3

Now, substitute the value of theta...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in