2012 · Q64
Consider the following:
- 1sin^2 1 degree + cos^2 1 degree = 1
- 2sec^2 33 degrees - cot^2 57 degrees = cosec^2 37 degrees - tan^2 53 degrees.
Which of the above statements is/are correct?
Elementary MathematicsTrigonometry
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
Statement 1 is the Pythagorean identity; statement 2 reduces to 1 = 1 since cot57 = tan33 and tan53 = cot37.