2020 · Q60
Consider the following statements:
- 1The value of cos61° + sin29° cannot exceed 1. 2. The value of tan23° − cot67° is less than 0.
Which of the above statements is/are correct?
Elementary MathematicsTrigonometry
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
cos61+sin29 = 2cos61 ~= 0.97, which cannot exceed 1, so statement 1 is true. tan23-cot67 = tan23-tan23 = 0, which is not less than 0, so statement 2 is false. Statement 1 only - option (A).