Find the value of (\(\frac{sin 33°}{cos 57°}\))2 + (\(\frac{cos 57°}{sin 33°}\))2
Answer & explanation
Correct answer: option 4
(\(\frac{sin 33°}{cos 57°}\))2 + (\(\frac{cos 57°}{sin 33°}\))2
⇒ (\(\frac{sin 33°}{sin (90°-33°)}\))2 + (\(\frac{cos 57°}{cos (90°-57°)}\))2
⇒ (\(\frac{sin 33°}{sin 33°}\))2 + (\(\frac{cos 57°}{cos 57°}\))2
⇒ 1 + 1 = 2