Given that theta is acute and sin(theta) = 28/53, find sin(2 theta).

Answer and explanation

Correct answer: C. 2520/2809

  1. Step 1: Since theta is acute, cos(theta) = sqrt(1 - sin^2(theta)) = 45/53.
  2. Step 2: sin(2 theta) = 2 sin(theta) cos(theta) = 2 x 28/53 x 45/53 = 2520/2809.
Answer
2520/2809.
Why not the others: '784/2809' squares sin(theta) instead of using the double-angle formula; '1241/2809' gives cos(2 theta); '45/53' gives cos(theta).

Practise more Algebra, Functions, Geometry and Probability.

Free questions with an explanation for every one, and full timed Državna Matura (Bosnia & Herzegovina) mock tests.

All Algebra, Functions, Geometry and Probability questionsTake a mock test

More Algebra, Functions, Geometry and Probability questions