Question

If tana cot=2 ,than find the value of tan square a +cot

Answer 1

Answer:

Did you mean If tan a + cot a =2 then find the value of tan2 a + cot 2 a

If that's what you mean the here is the answer.

Step-by-step explanation:

=) tan a + cot a =2                               - Take square on both sides

=) (tan a + cot a)² = 2²

=) tan² a + cot² a +2tana.cota = 4

We know that cot a = 1\tan a

=) tan² a + cot² a + 2 = 4

=) tan² a + cot² a = 2

Hence found.