Find the value ofsin 27°2 +cos 63°2cos 63°sin

Home » Aptitude » Trigonometry » Question

Find the value of
sin 27° ² + cos 63° ²
cos 63° sin 27°

1. 0
2. 2
3. 3
4. 1

Correct Option: B

sin 27° = sin (90° – 63°) = cos 63°
[∵ sin (90° – θ) = cosθ]

∴		sin 27°		²	+		cos 63°		²
		cos 63°					sin 27°

=		sin 27°		²	+		sin 27°		²
		sin 27°					sin 27°

= 1 + 1 = 2