Solve for , to 1 decimal place.

Answer and explanation

Correct answer: B. and

  1. Step 1: Rearrange: .
  2. Step 2: Calculator: (second quadrant).
  3. Step 3: Cosine is also negative in the third quadrant: .
Answer
and .
Why not the others: and : these solve . and : 70.5 has a positive cosine. and : the second solution is .

Practise more Trigonometry, Vectors, Statistics and Applications.

Free questions with an explanation for every one, and full timed National 5 (Scotland) mock tests.