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Lemur [1.5K]
3 years ago
11

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

Mathematics
2 answers:
jeka943 years ago
4 0

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.


Nataly_w [17]3 years ago
3 0
<span>c)1 + 2cot^2x + 2cscx cotx

because cosc^2x=1+cot^2x</span>
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