Question

Please answer the question if u answer I will mark in brain list conform

Answer 1

Answer:

I can't answer this question

Answer 2

Answer: 1/9 or 4

Step-by-step explanation:

$sin\alpha + cos\alpha = 1/5$

$2sin(\alpha/2)cos(\alpha/2) + [1 - 2sin^{2} (\alpha/2)] = 1/5$ (Use here Half angle formula)

Rearrange this equation.

$2sin^{2}(\alpha/2) - 2sin(\alpha/2)cos(\alpha/2) = 4/5$

Divide the above equation by $cos^{2}(\alpha/2)$.

$2tan^{2}(\alpha/2) - 2tan(\alpha/2) = (4/5)(1+tan^{2}(\alpha/2))$

$3tan^{2}(\alpha/2)-5tan(\alpha/2) - 2 = 0$

$tan(\alpha/2) = -1/3$ or $tan(\alpha/2) = 2$

So, $tan^{2}(\alpha/2) = 1/9$ or $tan^{2}(\alpha/2) = 4$

(I hope it will be marked as Brainliest).