Question

if root 3 cot square theta minus 4 cot theta + root 3 is equal to zero then find the value of cot square theta + tan square theta​

Answer 1

Step-by-step explanation:

Given if root 3 cot square theta minus 4 cot theta + root 3 is equal to zero then find the value of cot square theta + tan square theta

• Now √3 cot^2 theta – 4 cot theta + √3 = 0
• Now this is in the form of a quadratic equation and we have the formula  
•      So x = - b + - √b^2 – 4ac / 2a
•    So cot theta = 4 + - √4^2 – 4√3 √3 / 2 √3
•                       = 4 + - √16 – 12 / 2√3
•                       = 4 + - √4 / 2√3
•                     = 4 + - 2 / 2√3
•                     = 6 / 2√3, 2 / 2√3
•   Or we get cot theta = √3, 1 / √3
•  Now cot^2 theta = 1/3, 3
• So tan^2 theta = 1/cot^2 theta
•                          = 1/1/3
•                            = 3
• Also tan^2 theta = 1/3
• So we have 1/3,3 and 3, 1/3
• So we get cot^2 theta + tan^2 theta = 3 + 1/3 = 10/3

Reference link will be

https://brainly.in/question/7799054

Answer 2

Answer:

10/3will be the correct answer