If a sin 45 = b cosec 30 , what is the value of a⁴ / b⁴ ?

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A6³

B4³

C2³

Dnone of the above

Answer:

sin 45 = b cosec 30 a/b = cosec 30/ sin 45 = 2/(1/√2) a/b = 2√2 a⁴/b⁴ = 2⁴ x (√2)⁴= 16 x 4 =64= 4³

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