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「SUZAKU」
Lv 6
「SUZAKU」 asked in Science & MathematicsMathematics · 9 years ago

What are all the solutions of the equation sin 2x(csc2x + 2) = 0?

answer choices:

a) x = (2π/3 + πn, 5π/3 +πn)

x = (π/8 + πn, 3π/8 + πn)

x = (7π/12 + πn, 11π/12 + πn)

x = (π/6 + πn, π/3 + πn)

e) no solution

1 Answer

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  • sahsjing
    Lv 7
    9 years ago
    Favorite Answer

    sin 2x = 0

    => 2x = nπ

    => x = (1/2)nπ

    or csc2x + 2 = 0

    => csc2x = -2

    => sin2x = -1/2

    =>2x = (7/6)π + 2nπ or (11/6)π + 2nπ

    => x = 7π/12 + πn, or 11π/12 + πn

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