2019 · Q52
What is the value of sin 46° cos 44° + cos 46° sin 44°?
Elementary MathematicsTrigonometry
- Asin 2°
- B0
- C1
- D2
Explanation
The expression matches the sine addition formula sin(A+B) = sin A cos B + cos A sin B with A = 46 and B = 44 degrees. It therefore equals sin(46 + 44) = sin 90 = 1. No calculator work is needed once the pattern is spotted. Hence option (c).