2019 · Q58
What is the value of sin²25° + sin²65°?
Elementary MathematicsTrigonometry
- A0
- B1
- C2
- D4
Explanation
Since 65 = 90 - 25 degrees, sin 65 = sin(90 - 25) = cos 25 by complementary angles. The expression becomes sin^2(25) + cos^2(25), which equals 1 by the Pythagorean identity. Hence the value is 1, option (b).