Question

cot x + cosec x = ✓3
solve the equation and find general solution​

Answer 1

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Answer 2

Step-by-step explanation:

cot(x) + csc(x) = √3; Multiplying this by cos(x),

==> {1 + cos(x)}/sin(x) = √3

ii) ==> 2cos²(x/2)/2*sin(x/2)*cos(x/2) = √3

[Application of multiple/sub multiple angle identities]

This simplifies as: cot(x/2) = √3

So x/2 = π/6 [cot(π/6) = √3]

==> General solution is: x/2 = nπ + (π/6)

Hence x = 2nπ + (π/3)