2012 · Q90
Consider the following statements:
- 1There is only one value of x in the first quadrant that satisfies sin x + cos x =
- 22. There is only one value of x in the first quadrant that satisfies sin x - cos x = 0.
Which of the above is/are correct?
Elementary MathematicsTrigonometry
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
sin x + cos x <= sqrt(2) < 2, so statement 1 is false; sin x = cos x gives the unique first-quadrant solution x = 45 degrees.