Question

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

• A. 6³
• B. 4³
• C. 2³
• D. none of the above

Answer 1

Answer:

B. 4³

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