
How do you find the value of ?
Answer
432.3k+ views
Hint : Here we are given to find the value of . To do it, first we will convert the cot function into sine and cosine function. Then we will find the value of sine and cosine functions at the angle of . Then we will put those values to find the value of cot function at the angle of
Complete step-by-step solution:
We are given to find the value of . First of all we convert cot function into tan function, as below,
Now we convert tan function into cos function and sin function as . Using this formula we move ahead as,
Replace with , we get,
Now, since we know that the value of and , we put these values in the above step as,
Thus we have found that the value of is .
Formula used: We can write tan function in terms of sin and cos functions as,
We can also write cot function in terms of tan function as
Note: We can also find the values of different trigonometric functions for different angles by using unit circle method whose coordinates are of form,
Using these two trigonometric functions, we can find other trigonometric functions as well. We should also remember the values of all trigonometric functions for some of the most used angles like as it will save us some time which is very crucial while solving more complex or difficult questions
Complete step-by-step solution:
We are given to find the value of
Now we convert tan function into cos function and sin function as
Replace
Now, since we know that the value of
Thus we have found that the value of
Formula used: We can write tan function in terms of sin and cos functions as,
We can also write cot function in terms of tan function as
Note: We can also find the values of different trigonometric functions for different angles by using unit circle method whose coordinates are of form,
Using these two trigonometric functions, we can find other trigonometric functions as well. We should also remember the values of all trigonometric functions for some of the most used angles like
Latest Vedantu courses for you
Grade 10 | MAHARASHTRABOARD | SCHOOL | English
Vedantu 10 Maharashtra Pro Lite (2025-26)
School Full course for MAHARASHTRABOARD students
₹33,300 per year
Recently Updated Pages
Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Chemistry: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Trending doubts
Explain why it is said like that Mock drill is use class 11 social science CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

Net gain of ATP in glycolysis a 6 b 2 c 4 d 8 class 11 biology CBSE
