General solutions of cosec -cosec - - n- are-m-1m-where n-m-

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General Solution of cos theta = cos alpha

General solut...

Question

General solutions of $cosec θ = cosec α, α \neq n π$ are
$θ = m π + (- 1)^{m} α,$
where $n, m \in Z$

True

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False

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Solution

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0 < θ < \frac{π}{2},

(s)

6 \sum m - 1

(0 + \frac{(m - 1) π}{4})

(0 + \frac{m π}{4}) = 4 \sqrt{2}

tan θ = tan α, \forall α \in (- \frac{π}{2}, \frac{π}{2})

θ = 2 n π + α, n \in Z .

If the general solution of the equation tan 3 θ = - 1, is given by θ = \frac{n π}{3} - α, where n \in Z and α \in (0, \frac{π}{6}], then α equals

If the general solution of the equation tan 3 θ = - 1, is given by θ = \frac{n π}{3} - α, where n \in Z and α \in (0, \frac{π}{6}], then α equals

cos θ = cos α

θ = n π \pm α, n \in Z .

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