Question

Evaluate:
$sin(25) +cos(65)+cos(25) + sin(65)$
​

Answer 1

$\huge\underline\mathfrak\red{Question}$

sin 25° cos 65° + cos 25° sin 65°

$\huge\underline\mathfrak\orange{Solution}$

= sin 25° cos (90° – 25°) + cos 25° sin (90° – 25°) = sin 25° sin 25° + cos 25° + cos 25°

= sin2 25° + cos2 25°

= 1. [∵ cos2 θ + sin2 θ = 1]

$\huge\underline\mathcal\purple{BTS \: EXO}$