Question

Question 4 Find the general solution of cosec x = –2

Class X1 - Maths -Trigonometric Functions Page 78

Answer 1

cosec = -2
first of all cosecx convert into sinx.
we know,
cosecx = 1/sinx
Then,
1/sinx = -2
sinx = -1/2
sinx = -sin(π/6) = sin(π+π/6)
sinx = sin(7π/6)

we know,
sin∅ = sinA
∅ = nπ + (-1)ⁿA is general solution.

So, sinx = sin(7π/6)
x = nπ + (-1)ⁿ(7π/6)

Answer 2

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