Question

If tan x + cot x = 2 then what does tan^2 + cot ^ 2 =?

Answer 1

Answer:

$tan^2x+cot^2x=2$

Step-by-step explanation:

$tanx+cotx=2\\\\WKT\\tanx\times cotx=1\\\\(x+y)^2=x^2+y^2+2xy\\\\(tanx+cotx)^2=tan^2x+cot^x+2tanx\times cotx\\\\4=tan^2x+cot^x+2\\\\tan^2x+cot^2x=2$

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