The value of sin 28° cos 17° + cos 28° sin 17° (a) 1/√2 (b) 1 (c) -1/√2 (d) 0

Question

The value of sin 28° cos 17° + cos 28° sin 17° 

(a) \(\frac{1}{\sqrt{2}}\)

(b) 1 

(c) \(\frac{-1}{\sqrt{2}}\)

(d) 0

Answer 1

(a) \(\frac{1}{\sqrt{2}}\)

sin 28° cos 17° + cos 28° sin 17° = sin(28° + 17°) 

This is of the form sin(A + B), A = 28°, B = 17° 

= sin 45°

= \(\frac{1}{\sqrt{2}}\)