General solution of $$3$$−$$1cos$$θ$$+3+1sin$$θ$$=2$$ is

Correct option is 1nπ+−1nπ4−π12

Questions

$G e n e r a l s o l u t i o n o f (\sqrt{3} - 1) \cos θ + (\sqrt{3} + 1) \sin θ = 2 i s$

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nπ+−1nπ4−π12

nπ2+π4

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detailed solution

Correct option is A

We have 3−1cosθ+3+1sinθ=2 ⇒sinθ3+122+cosθ3−122=222 ⇒sinθcosπ12+cosθsinπ12=12 ⇒sinθ+π12=sinπ4 ⇒θ+π12=nπ+−1nπ4, n∈Z ⇒θ=nπ+−1nπ4-π12, n∈Z

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General solution of 3−1cosθ+3+1sinθ=2 is

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$G e n e r a l s o l u t i o n o f (\sqrt{3} - 1) \cos θ + (\sqrt{3} + 1) \sin θ = 2 i s$