Question

If tan A + cot A = 5
find the value of
tan^2 A + cot^2 A

Answer 1

@satellite73

Answer 2

@ParthKohli

Answer 3

@iambatman

Answer 4

\[\tan(A) + \cot(A) = 5 \\ \tan(A) + \frac{1}{\tan(A)} = 5 \\ \tan^2(A) + 1 = 5 \tan(A) \\ \tan^2(A) - 5 \tan(A) +1 = 0\]

Answer 5

Solve this quadratic to find \(\tan(A)\).

Answer 6

I don't know how to.

Answer 7

@eta

Answer 8

@sleepyhead314
@sleepyjess

Answer 9

@ParthKohli

Answer 10

Just square both sides.

Answer 11

I am dumb..

Answer 12

Can you explain it in a better way?

Answer 13

\[\tan A + \cot A = 5\]Square both sides.

Answer 14

\[(ta(A) + \cot(A))^2 = 5^2\]

now proceed..

Answer 15

25?

Answer 16

*tan(A)..

Answer 17

@ParthKohli
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