Multiple choice

If x + y = cosec 45° and 2x = sin 30°, what is the value of y?

  1. 4 2

  2. 2 − 1 4

  3. 8

  4. 2 + 1 4

Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Substituting the standard trigonometric values gives x plus y equals the square root of 2, and 2x equals one half. Solving the second equation gives x equals one quarter. Substituting this into the first equation gives one quarter plus y equals the square root of 2, so y equals the square root of 2 minus one quarter.