What is the value of sin 75° + sin 15°?
Answer & explanation
Correct answer: option 3
sin 75° + sin 15°
= cos 15° + sin 15°
let cos 15° + sin 15° = x
on squaring both side
cos215° + sin215° + 2 sin 15 . cos 15 = x2
1 + sin 2 ( 15°) = x2
1 + sin30° =x2
1 + \(\frac{1}{2 }\) = x2
\(\frac{3}{2 }\) = x2
x = $\sqrt{\frac{3}{2}}$