Question

What is the expression (cscx+cotx)^2 the same as?

Answer 1

Answer:

Option c - 1+2(cotx)^2+2(coscx)(cotx)[/tex]

Step-by-step explanation:

Given : $(cscx+cotx)^2$

To find : What is the expression $(cscx+cotx)^2$ the same as?

Solution :

Step 1- Write the expression

$(cscx+cotx)^2$

Step 2- Solve by using identity $(a+b)^2=a^2+b^2+2ab$

$(cscx+cotx)^2=(cscx)^2+(cotx)^2+2(coscx)(cotx)$

Step 3- Using trigonometric identity $csc^2\theta=1+cot^2\theta$

$(cscx+cotx)^2=1+(cotx)^2+(cotx)^2+2(coscx)(cotx)$

$(cscx+cotx)^2=1+2(cotx)^2+2(coscx)(cotx)$

Option c is same as our solution.

Therefore, Option c is correct.

Answer 2

c)1 + 2cot^2x + 2cscx cotx

because cosc^2x=1+cot^2x