The value of sin² 64° + cos 64°sin 26° + 2cos43°cosec47° is?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 3
sin2 64° + cos 64°sin 26° + 2cos43°cosec47°
= sin2 64° + cos 64°sin 26° + 2cos43°/sin47°
= sin2 64° + cos 64°sin 26° + 2 × 1
as cosx/siny = 1, if x + y = 90°
= sin2 64° + 2 + cos 64°cos 64°
= 2 + sin2 64° + cos2 64°
= 2 + 1 = 3