Solving sin-3-2 then- - n- - -1 n-m-n- I- Find m

sinθ=√(3)/2 ⇒sinθ = sinπ/3 ∴θ= nπ + ( 1 )^nπ/3,n∈ I ...

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Standard XII

Mathematics

General Solution of Trigonometric Equation

Solving sin...

Question

Solving $sin θ = \frac{\sqrt{3}}{2}$ then, $θ = n π + {(- 1)}^{n} \frac{π}{m}, n \in I$ . Find $m$

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Solution

$sin θ = \frac{\sqrt{3}}{2}$
$\Rightarrow sin θ = sin \frac{π}{3}$
$∴ θ = n π + {(- 1)}^{n} \frac{π}{3}, n \in I$

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Solving sinθ=√32 then, θ=nπ+(−1)nπm,n∈I. Find m

sinθ=√32⇒sinθ=sinπ3∴θ=nπ+(−1)nπ3,n∈I

Solving $sin θ = \frac{\sqrt{3}}{2}$ then, $θ = n π + {(- 1)}^{n} \frac{π}{m}, n \in I$ . Find $m$

$sin θ = \frac{\sqrt{3}}{2}$
$\Rightarrow sin θ = sin \frac{π}{3}$
$∴ θ = n π + {(- 1)}^{n} \frac{π}{3}, n \in I$