Step by step solution to "How do you simplify the expression cot2x+1?"

Kirsten Bishop

Answered question

2022-11-26

How do you simplify the expression

c o t^{2} x + 1

Aleah Rowe

Beginner2022-11-27Added 15 answers

Simplify the given expression using the trigonometric identities.
We have to simplify the expression

c o t^{2} x + 1

.
Expressing the given expression in terms of

\sin

and

\cos .

\Rightarrow 1 + c o t^{2} x = \frac{\sin^{2} x}{\sin^{2} x} + \frac{\cos^{2} x}{\sin^{2} x} \Rightarrow 1 + c o t^{2} x = \frac{\cos^{2} x + \sin^{2} x}{\sin^{2} x} \Rightarrow 1 + c o t^{2} x = \frac{1}{\sin^{2} x} . . . [s i n^{2} x + c o s^{2} x = 1] \Rightarrow 1 + c o t^{2} x = \cos e c^{2} x

Hence, the required answer is

1 + c o t^{2} x = \cos e c^{2} x

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