Question

sinX + cosX = √3 , then prove that tanX + cotX = 1​

Answer 1

Step-by-step explanation: tan x + cot x = sin x/cos x+ cos x /sin x= (sin^2x+ cos^2x)/ ( sin x cos x)=1/( sin x+ cos x),

sin x + cos x = sqrt 3. Square it

sin^2 x +cos ^2 x + 2 sin x cos x = 3,

1 + 2 sin x cos x =3. This gives sin x cos x =1

Therefore , tan x + cot x =1

Answer 2

Step-by-step explanation:

Refer to the attachment