Question

Q21. If tan a + cot a = 5, then find the value of tan’a + cot?a.


end mei jo tan ke upar koma aa rha hai na vaha square 2 hai or cot ke question mark pe bhi square 2​

Answer 1

Answer:

23

Step-by-step explanation:

Given,

tan a + cot a = 5

tan a + 1/ tan a = 5

Squaring both sides, we get,

tan^2 a + 1/ tan^2 a + 2.tan a.1/ tan a= 25

tan^2 a + 1/ tan^2 a + 2 = 25

tan^2 a + 1/ tan^2 a = 23

tan^2 a + cot^2 a = 23

Aashaa hai aap samajh gye honge

Answer 2

Step-by-step explanation:

(tan a+cot a)² = 5² (squaring both sides)

tan²a+cot²a+2tan a×cot a=25

tan²a+cot²a+2×tan a×1/tan a=25

tan²a+cot²a=25-2

=23