Question

if sinX+cosX=1/5 then tan 2X is​

Answer 1

Answer:

-24/7 or 24/7

Step-by-step explanation:

Given that

Sin X + Cos X = 1/5

(square on both sides)

(Sin X + Cos X)^2 = (1/5)^2

1 + 2 SinX cosX = 1/25

1+ Sin^2X = 1/25

Sin^2X = -24/25

Cos^2X = 7/25

Then,

Tan^2X = Sin^2X/Cos^2X

= {-24/25}/{7/25}

= -24/7 or 24/7

Therefore,

Tan^2X = -24/7 or 24/7

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