# How do you find cot x if sin x cot x csc x = √2?

Jan 4, 2016

 cot x = √2

#### Explanation:

note that the function # cscx = 1/sinx

hence $\sin x \times \cot x \times \frac{1}{\sin} x = \sqrt{2}$

cancelling out the $\sin x$ terms

gives $\cot x = \sqrt{2}$
The passage contains a trigonometric equation and provides a step-by-step solution to find the value of cot x.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# How do you find cot x if sin x cot x csc x = √2?

Jan 4, 2016

 cot x = √2

#### Explanation:

note that the function # cscx = 1/sinx

hence $\sin x \times \cot x \times \frac{1}{\sin} x = \sqrt{2}$

cancelling out the $\sin x$ terms

gives $\cot x = \sqrt{2}$
user
The passage contains a trigonometric equation and provides a step-by-step solution to find the value of cot x.

TYPE: SINGLE_QUESTION_WITH_ANSWER