Question

if tan a +cot a =6 then tan^2a + cot^2a​

Answer 1

Answer:

tan²a+cot²a=34

Step-by-step explanation:

tan a + cot a =6

Squaring on both sides

(tan a + cot a)² = 6²

tan²a + cot²a +2tana.cota =36

we Know,  tana.cota=1

tan² a + cot²a +2 = 36

tan²a + cot² a = 36 -2 = 34

tan²a+cot²a=34

Answer 2

Answer: tan^2a + cot^2a = 34

Step-by-step explanation:

Given: It is given that tan a+cot a=6

To find: The value of tan^2a+cot^2a

It is given that tan a+cot a=6 , then

Squaring on both the sides, we have

(tan a+cot a)^2= 36

tan^2a + cot^2a + 2tan a. cot a= 36

Now, because tan a . cot a = 1, therefore the equation becomes,

tan^2a + cot^2a + 2=36

tan^2a + cot^2a=34