Question

Tan square theta + cot square theta is equal to 2 then what is the value of tan theta + cot theta

Answer 1

Question:

If tan²∅ + cot²∅ = 2 , then find the value of tan∅ + cot∅ .

Answer:

tan∅ + cot∅ = ± 2

Solution:

We have ;

=> tan²∅ + cot²∅ = 2

=> (tan∅ + cot∅)² - 2tan∅cot∅ = 2

{ A² + B² = (A + B)² - 2AB }

=> (tan∅ + cot∅)² - 2×1 = 2

{ cot∅ = 1/tan∅ => tan∅cot∅ = 1 }

=> (tan∅ + cot∅)² - 2 = 2

=> (tan∅ + cot∅)² = 2 + 2

=> (tan∅ + cot∅)² = 4

=> tan∅ + cot∅ = √4

=> tan∅ + cot∅ = ± 2

Hence,

The required value of tan∅ + cot∅ are :

± 2 .

Answer 2

Answer:

+4/-4 by( a+b)^2 u can get

Step-by-step explanation:

ok. hey